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Finding the Fourth Proportional to 131,569, 181,565.22 and 71,953

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Solution

The fourth proportional to 131,569, 181,565.22 and 71,953 is: 99,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,569 : 181,565.22 = 71,953 : x
  2. Step 2: Convert to fraction form
    131,569/181,565.22 = 71,953/x
  3. Step 3: Cross multiply
    131,569x = 181,565.22 × 71,953
  4. Step 4: Simplify right side
    131,569x = 13,064,162,274.66
  5. Step 5: Solve for x
    x = 13,064,162,274.66/131,569
  6. Step 6: Final answer
    x = 99,295.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.