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Finding the Fourth Proportional to 156,071.60, 233,711.40 and 85,871.60

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Solution

The fourth proportional to 156,071.60, 233,711.40 and 85,871.60 is: 128,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,071.60 : 233,711.40 = 85,871.60 : x
  2. Step 2: Convert to fraction form
    156,071.60/233,711.40 = 85,871.60/x
  3. Step 3: Cross multiply
    156,071.60x = 233,711.40 × 85,871.60
  4. Step 4: Simplify right side
    156,071.60x = 20,069,171,856.24
  5. Step 5: Solve for x
    x = 20,069,171,856.24/156,071.60
  6. Step 6: Final answer
    x = 128,589.52

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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.