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Finding the Fourth Proportional to 61,001.64, 84,186 and 34,145.82

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Solution

The fourth proportional to 61,001.64, 84,186 and 34,145.82 is: 47,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,001.64 : 84,186 = 34,145.82 : x
  2. Step 2: Convert to fraction form
    61,001.64/84,186 = 34,145.82/x
  3. Step 3: Cross multiply
    61,001.64x = 84,186 × 34,145.82
  4. Step 4: Simplify right side
    61,001.64x = 2,874,600,002.52
  5. Step 5: Solve for x
    x = 2,874,600,002.52/61,001.64
  6. Step 6: Final answer
    x = 47,123.32

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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.