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Finding the Fourth Proportional to 86,165.73, 129,248.63 and 27,006

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Solution

The fourth proportional to 86,165.73, 129,248.63 and 27,006 is: 40,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,165.73 : 129,248.63 = 27,006 : x
  2. Step 2: Convert to fraction form
    86,165.73/129,248.63 = 27,006/x
  3. Step 3: Cross multiply
    86,165.73x = 129,248.63 × 27,006
  4. Step 4: Simplify right side
    86,165.73x = 3,490,488,501.78
  5. Step 5: Solve for x
    x = 3,490,488,501.78/86,165.73
  6. Step 6: Final answer
    x = 40,509.01

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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.