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Finding the Fourth Proportional to 86,957.55, 130,238.28 and 51,824.61

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Solution

The fourth proportional to 86,957.55, 130,238.28 and 51,824.61 is: 77,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,957.55 : 130,238.28 = 51,824.61 : x
  2. Step 2: Convert to fraction form
    86,957.55/130,238.28 = 51,824.61/x
  3. Step 3: Cross multiply
    86,957.55x = 130,238.28 × 51,824.61
  4. Step 4: Simplify right side
    86,957.55x = 6,749,548,068.07
  5. Step 5: Solve for x
    x = 6,749,548,068.07/86,957.55
  6. Step 6: Final answer
    x = 77,618.88

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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.