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Finding the Fourth Proportional to 156,151.84, 215,488.08 and 84,530.02

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Solution

The fourth proportional to 156,151.84, 215,488.08 and 84,530.02 is: 116,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,151.84 : 215,488.08 = 84,530.02 : x
  2. Step 2: Convert to fraction form
    156,151.84/215,488.08 = 84,530.02/x
  3. Step 3: Cross multiply
    156,151.84x = 215,488.08 × 84,530.02
  4. Step 4: Simplify right side
    156,151.84x = 18,215,211,712.16
  5. Step 5: Solve for x
    x = 18,215,211,712.16/156,151.84
  6. Step 6: Final answer
    x = 116,650.64

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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.