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Finding the Fourth Proportional to 157,882.79, 217,875.69 and 86,261.28

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Solution

The fourth proportional to 157,882.79, 217,875.69 and 86,261.28 is: 119,039.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,882.79 : 217,875.69 = 86,261.28 : x
  2. Step 2: Convert to fraction form
    157,882.79/217,875.69 = 86,261.28/x
  3. Step 3: Cross multiply
    157,882.79x = 217,875.69 × 86,261.28
  4. Step 4: Simplify right side
    157,882.79x = 18,794,235,900.28
  5. Step 5: Solve for x
    x = 18,794,235,900.28/157,882.79
  6. Step 6: Final answer
    x = 119,039.17

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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.