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Finding the Fourth Proportional to 99,856,326.40, 149,784,489.60 and 48,712,019.20

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Solution

The fourth proportional to 99,856,326.40, 149,784,489.60 and 48,712,019.20 is: 73,068,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,856,326.40 : 149,784,489.60 = 48,712,019.20 : x
  2. Step 2: Convert to fraction form
    99,856,326.40/149,784,489.60 = 48,712,019.20/x
  3. Step 3: Cross multiply
    99,856,326.40x = 149,784,489.60 × 48,712,019.20
  4. Step 4: Simplify right side
    99,856,326.40x = 7,296,304,933,257,400
  5. Step 5: Solve for x
    x = 7,296,304,933,257,400/99,856,326.40
  6. Step 6: Final answer
    x = 73,068,028.80

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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.