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Finding the Fourth Proportional to 71,009,903.40, 106,514,855.10 and 40,776,815.40

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Solution

The fourth proportional to 71,009,903.40, 106,514,855.10 and 40,776,815.40 is: 61,165,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,009,903.40 : 106,514,855.10 = 40,776,815.40 : x
  2. Step 2: Convert to fraction form
    71,009,903.40/106,514,855.10 = 40,776,815.40/x
  3. Step 3: Cross multiply
    71,009,903.40x = 106,514,855.10 × 40,776,815.40
  4. Step 4: Simplify right side
    71,009,903.40x = 4,343,336,583,770,448
  5. Step 5: Solve for x
    x = 4,343,336,583,770,448/71,009,903.40
  6. Step 6: Final answer
    x = 61,165,223.10

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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.