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Finding the Fourth Proportional to 86,000.10, 128,956.95 and 39,200.10

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Solution

The fourth proportional to 86,000.10, 128,956.95 and 39,200.10 is: 58,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,000.10 : 128,956.95 = 39,200.10 : x
  2. Step 2: Convert to fraction form
    86,000.10/128,956.95 = 39,200.10/x
  3. Step 3: Cross multiply
    86,000.10x = 128,956.95 × 39,200.10
  4. Step 4: Simplify right side
    86,000.10x = 5,055,125,335.70
  5. Step 5: Solve for x
    x = 5,055,125,335.70/86,000.10
  6. Step 6: Final answer
    x = 58,780.46

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1.5x scale

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.