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Finding the Fourth Proportional to 153,730.61, 230,487.02 and 68,294.54

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Solution

The fourth proportional to 153,730.61, 230,487.02 and 68,294.54 is: 102,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,730.61 : 230,487.02 = 68,294.54 : x
  2. Step 2: Convert to fraction form
    153,730.61/230,487.02 = 68,294.54/x
  3. Step 3: Cross multiply
    153,730.61x = 230,487.02 × 68,294.54
  4. Step 4: Simplify right side
    153,730.61x = 15,741,005,497.72
  5. Step 5: Solve for x
    x = 15,741,005,497.72/153,730.61
  6. Step 6: Final answer
    x = 102,393.44

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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.