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Finding the Fourth Proportional to 136,032, 187,735.68 and 76,427.52

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Solution

The fourth proportional to 136,032, 187,735.68 and 76,427.52 is: 105,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,032 : 187,735.68 = 76,427.52 : x
  2. Step 2: Convert to fraction form
    136,032/187,735.68 = 76,427.52/x
  3. Step 3: Cross multiply
    136,032x = 187,735.68 × 76,427.52
  4. Step 4: Simplify right side
    136,032x = 14,348,172,437.91
  5. Step 5: Solve for x
    x = 14,348,172,437.91/136,032
  6. Step 6: Final answer
    x = 105,476.45

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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.