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Finding the Fourth Proportional to 157,762.41, 217,711.26 and 86,141.92

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Solution

The fourth proportional to 157,762.41, 217,711.26 and 86,141.92 is: 118,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,762.41 : 217,711.26 = 86,141.92 : x
  2. Step 2: Convert to fraction form
    157,762.41/217,711.26 = 86,141.92/x
  3. Step 3: Cross multiply
    157,762.41x = 217,711.26 × 86,141.92
  4. Step 4: Simplify right side
    157,762.41x = 18,754,065,942.02
  5. Step 5: Solve for x
    x = 18,754,065,942.02/157,762.41
  6. Step 6: Final answer
    x = 118,875.38

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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.