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Finding the Fourth Proportional to 153,154.92, 229,706.46 and 42,321

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Solution

The fourth proportional to 153,154.92, 229,706.46 and 42,321 is: 63,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,154.92 : 229,706.46 = 42,321 : x
  2. Step 2: Convert to fraction form
    153,154.92/229,706.46 = 42,321/x
  3. Step 3: Cross multiply
    153,154.92x = 229,706.46 × 42,321
  4. Step 4: Simplify right side
    153,154.92x = 9,721,407,093.66
  5. Step 5: Solve for x
    x = 9,721,407,093.66/153,154.92
  6. Step 6: Final answer
    x = 63,474.34

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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.