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Finding the Fourth Proportional to 153,310, 229,965 and 42,502

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Solution

The fourth proportional to 153,310, 229,965 and 42,502 is: 63,753

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,310 : 229,965 = 42,502 : x
  2. Step 2: Convert to fraction form
    153,310/229,965 = 42,502/x
  3. Step 3: Cross multiply
    153,310x = 229,965 × 42,502
  4. Step 4: Simplify right side
    153,310x = 9,773,972,430
  5. Step 5: Solve for x
    x = 9,773,972,430/153,310
  6. Step 6: Final answer
    x = 63,753

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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.