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Finding the Fourth Proportional to 156,978.90, 235,468.35 and 97,881.30

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Solution

The fourth proportional to 156,978.90, 235,468.35 and 97,881.30 is: 146,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.90 : 235,468.35 = 97,881.30 : x
  2. Step 2: Convert to fraction form
    156,978.90/235,468.35 = 97,881.30/x
  3. Step 3: Cross multiply
    156,978.90x = 235,468.35 × 97,881.30
  4. Step 4: Simplify right side
    156,978.90x = 23,047,948,206.86
  5. Step 5: Solve for x
    x = 23,047,948,206.86/156,978.90
  6. Step 6: Final answer
    x = 146,821.95

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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.