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Finding the Fourth Proportional to 142,113.60, 212,760.80 and 86,817.60

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Solution

The fourth proportional to 142,113.60, 212,760.80 and 86,817.60 is: 129,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,113.60 : 212,760.80 = 86,817.60 : x
  2. Step 2: Convert to fraction form
    142,113.60/212,760.80 = 86,817.60/x
  3. Step 3: Cross multiply
    142,113.60x = 212,760.80 × 86,817.60
  4. Step 4: Simplify right side
    142,113.60x = 18,471,382,030.08
  5. Step 5: Solve for x
    x = 18,471,382,030.08/142,113.60
  6. Step 6: Final answer
    x = 129,976.17

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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.