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Finding the Fourth Proportional to 86,754, 130,149.36 and 49,332

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Solution

The fourth proportional to 86,754, 130,149.36 and 49,332 is: 74,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,754 : 130,149.36 = 49,332 : x
  2. Step 2: Convert to fraction form
    86,754/130,149.36 = 49,332/x
  3. Step 3: Cross multiply
    86,754x = 130,149.36 × 49,332
  4. Step 4: Simplify right side
    86,754x = 6,420,528,227.52
  5. Step 5: Solve for x
    x = 6,420,528,227.52/86,754
  6. Step 6: Final answer
    x = 74,008.44

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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.