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Finding the Fourth Proportional to 153,155.92, 229,707.96 and 42,322

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Solution

The fourth proportional to 153,155.92, 229,707.96 and 42,322 is: 63,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,155.92 : 229,707.96 = 42,322 : x
  2. Step 2: Convert to fraction form
    153,155.92/229,707.96 = 42,322/x
  3. Step 3: Cross multiply
    153,155.92x = 229,707.96 × 42,322
  4. Step 4: Simplify right side
    153,155.92x = 9,721,700,283.12
  5. Step 5: Solve for x
    x = 9,721,700,283.12/153,155.92
  6. Step 6: Final answer
    x = 63,475.84

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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.