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Finding the Fourth Proportional to 157,178.52, 216,984.06 and 107,139.96

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Solution

The fourth proportional to 157,178.52, 216,984.06 and 107,139.96 is: 147,906.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,178.52 : 216,984.06 = 107,139.96 : x
  2. Step 2: Convert to fraction form
    157,178.52/216,984.06 = 107,139.96/x
  3. Step 3: Cross multiply
    157,178.52x = 216,984.06 × 107,139.96
  4. Step 4: Simplify right side
    157,178.52x = 23,247,663,509.04
  5. Step 5: Solve for x
    x = 23,247,663,509.04/157,178.52
  6. Step 6: Final answer
    x = 147,906.11

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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.