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Finding the Fourth Proportional to 156,151.80, 215,486.93 and 84,531.20

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Solution

The fourth proportional to 156,151.80, 215,486.93 and 84,531.20 is: 116,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,151.80 : 215,486.93 = 84,531.20 : x
  2. Step 2: Convert to fraction form
    156,151.80/215,486.93 = 84,531.20/x
  3. Step 3: Cross multiply
    156,151.80x = 215,486.93 × 84,531.20
  4. Step 4: Simplify right side
    156,151.80x = 18,215,367,911.11
  5. Step 5: Solve for x
    x = 18,215,367,911.11/156,151.80
  6. Step 6: Final answer
    x = 116,651.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.