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Finding the Fourth Proportional to 120,298.52, 165,911.28 and 90,154.64

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Solution

The fourth proportional to 120,298.52, 165,911.28 and 90,154.64 is: 124,337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,298.52 : 165,911.28 = 90,154.64 : x
  2. Step 2: Convert to fraction form
    120,298.52/165,911.28 = 90,154.64/x
  3. Step 3: Cross multiply
    120,298.52x = 165,911.28 × 90,154.64
  4. Step 4: Simplify right side
    120,298.52x = 14,957,671,720.34
  5. Step 5: Solve for x
    x = 14,957,671,720.34/120,298.52
  6. Step 6: Final answer
    x = 124,337.95

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1.5x scale

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.