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Finding the Fourth Proportional to 86,915.42, 130,373.13 and 47,451

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Solution

The fourth proportional to 86,915.42, 130,373.13 and 47,451 is: 71,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,915.42 : 130,373.13 = 47,451 : x
  2. Step 2: Convert to fraction form
    86,915.42/130,373.13 = 47,451/x
  3. Step 3: Cross multiply
    86,915.42x = 130,373.13 × 47,451
  4. Step 4: Simplify right side
    86,915.42x = 6,186,335,391.63
  5. Step 5: Solve for x
    x = 6,186,335,391.63/86,915.42
  6. Step 6: Final answer
    x = 71,176.50

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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.