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Finding the Fourth Proportional to 82,640,807.40, 123,811,911.90 and 70,696,871.40

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Solution

The fourth proportional to 82,640,807.40, 123,811,911.90 and 70,696,871.40 is: 105,917,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,640,807.40 : 123,811,911.90 = 70,696,871.40 : x
  2. Step 2: Convert to fraction form
    82,640,807.40/123,811,911.90 = 70,696,871.40/x
  3. Step 3: Cross multiply
    82,640,807.40x = 123,811,911.90 × 70,696,871.40
  4. Step 4: Simplify right side
    82,640,807.40x = 8,753,114,813,382,431
  5. Step 5: Solve for x
    x = 8,753,114,813,382,431/82,640,807.40
  6. Step 6: Final answer
    x = 105,917,585.86

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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.