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Finding the Fourth Proportional to 86,328.80, 129,483.84 and 23,155.20

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Solution

The fourth proportional to 86,328.80, 129,483.84 and 23,155.20 is: 34,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,328.80 : 129,483.84 = 23,155.20 : x
  2. Step 2: Convert to fraction form
    86,328.80/129,483.84 = 23,155.20/x
  3. Step 3: Cross multiply
    86,328.80x = 129,483.84 × 23,155.20
  4. Step 4: Simplify right side
    86,328.80x = 2,998,224,211.97
  5. Step 5: Solve for x
    x = 2,998,224,211.97/86,328.80
  6. Step 6: Final answer
    x = 34,730.29

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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.