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Finding the Fourth Proportional to 153,157.92, 229,710.96 and 42,324

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Solution

The fourth proportional to 153,157.92, 229,710.96 and 42,324 is: 63,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,157.92 : 229,710.96 = 42,324 : x
  2. Step 2: Convert to fraction form
    153,157.92/229,710.96 = 42,324/x
  3. Step 3: Cross multiply
    153,157.92x = 229,710.96 × 42,324
  4. Step 4: Simplify right side
    153,157.92x = 9,722,286,671.04
  5. Step 5: Solve for x
    x = 9,722,286,671.04/153,157.92
  6. Step 6: Final answer
    x = 63,478.84

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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.