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Finding the Fourth Proportional to 74,175.52, 102,370.80 and 42,349

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Solution

The fourth proportional to 74,175.52, 102,370.80 and 42,349 is: 58,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,175.52 : 102,370.80 = 42,349 : x
  2. Step 2: Convert to fraction form
    74,175.52/102,370.80 = 42,349/x
  3. Step 3: Cross multiply
    74,175.52x = 102,370.80 × 42,349
  4. Step 4: Simplify right side
    74,175.52x = 4,335,301,009.20
  5. Step 5: Solve for x
    x = 4,335,301,009.20/74,175.52
  6. Step 6: Final answer
    x = 58,446.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.