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Finding the Fourth Proportional to 71,856,007.80, 107,784,011.70 and 26,411,897.40

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Solution

The fourth proportional to 71,856,007.80, 107,784,011.70 and 26,411,897.40 is: 39,617,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,856,007.80 : 107,784,011.70 = 26,411,897.40 : x
  2. Step 2: Convert to fraction form
    71,856,007.80/107,784,011.70 = 26,411,897.40/x
  3. Step 3: Cross multiply
    71,856,007.80x = 107,784,011.70 × 26,411,897.40
  4. Step 4: Simplify right side
    71,856,007.80x = 2,846,780,258,380,799.50
  5. Step 5: Solve for x
    x = 2,846,780,258,380,799.50/71,856,007.80
  6. Step 6: Final answer
    x = 39,617,846.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.