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Finding the Fourth Proportional to 157,399.92, 235,928.07 and 77,492.88

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Solution

The fourth proportional to 157,399.92, 235,928.07 and 77,492.88 is: 116,154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,399.92 : 235,928.07 = 77,492.88 : x
  2. Step 2: Convert to fraction form
    157,399.92/235,928.07 = 77,492.88/x
  3. Step 3: Cross multiply
    157,399.92x = 235,928.07 × 77,492.88
  4. Step 4: Simplify right side
    157,399.92x = 18,282,745,617.14
  5. Step 5: Solve for x
    x = 18,282,745,617.14/157,399.92
  6. Step 6: Final answer
    x = 116,154.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.