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Finding the Fourth Proportional to 156,765.60, 234,975.60 and 86,695.20

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Solution

The fourth proportional to 156,765.60, 234,975.60 and 86,695.20 is: 129,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,765.60 : 234,975.60 = 86,695.20 : x
  2. Step 2: Convert to fraction form
    156,765.60/234,975.60 = 86,695.20/x
  3. Step 3: Cross multiply
    156,765.60x = 234,975.60 × 86,695.20
  4. Step 4: Simplify right side
    156,765.60x = 20,371,256,637.12
  5. Step 5: Solve for x
    x = 20,371,256,637.12/156,765.60
  6. Step 6: Final answer
    x = 129,947.24

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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.