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Finding the Fourth Proportional to 86,101.68, 129,152.34 and 23,772

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Solution

The fourth proportional to 86,101.68, 129,152.34 and 23,772 is: 35,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,101.68 : 129,152.34 = 23,772 : x
  2. Step 2: Convert to fraction form
    86,101.68/129,152.34 = 23,772/x
  3. Step 3: Cross multiply
    86,101.68x = 129,152.34 × 23,772
  4. Step 4: Simplify right side
    86,101.68x = 3,070,209,426.48
  5. Step 5: Solve for x
    x = 3,070,209,426.48/86,101.68
  6. Step 6: Final answer
    x = 35,657.95

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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.