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Finding the Fourth Proportional to 157,594, 217,479.72 and 101,005.38

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Solution

The fourth proportional to 157,594, 217,479.72 and 101,005.38 is: 139,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,594 : 217,479.72 = 101,005.38 : x
  2. Step 2: Convert to fraction form
    157,594/217,479.72 = 101,005.38/x
  3. Step 3: Cross multiply
    157,594x = 217,479.72 × 101,005.38
  4. Step 4: Simplify right side
    157,594x = 21,966,621,760.89
  5. Step 5: Solve for x
    x = 21,966,621,760.89/157,594
  6. Step 6: Final answer
    x = 139,387.42

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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.