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Finding the Fourth Proportional to 261,807.96, 392,661.80 and 72,221.16

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Solution

The fourth proportional to 261,807.96, 392,661.80 and 72,221.16 is: 108,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,807.96 : 392,661.80 = 72,221.16 : x
  2. Step 2: Convert to fraction form
    261,807.96/392,661.80 = 72,221.16/x
  3. Step 3: Cross multiply
    261,807.96x = 392,661.80 × 72,221.16
  4. Step 4: Simplify right side
    261,807.96x = 28,358,490,683.69
  5. Step 5: Solve for x
    x = 28,358,490,683.69/261,807.96
  6. Step 6: Final answer
    x = 108,317.91

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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.