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Finding the Fourth Proportional to 157,355.24, 216,978.38 and 106,279.30

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Solution

The fourth proportional to 157,355.24, 216,978.38 and 106,279.30 is: 146,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,355.24 : 216,978.38 = 106,279.30 : x
  2. Step 2: Convert to fraction form
    157,355.24/216,978.38 = 106,279.30/x
  3. Step 3: Cross multiply
    157,355.24x = 216,978.38 × 106,279.30
  4. Step 4: Simplify right side
    157,355.24x = 23,060,310,479.91
  5. Step 5: Solve for x
    x = 23,060,310,479.91/157,355.24
  6. Step 6: Final answer
    x = 146,549.37

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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.