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Finding the Fourth Proportional to 137,675.68, 189,855.12 and 87,402.40

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Solution

The fourth proportional to 137,675.68, 189,855.12 and 87,402.40 is: 120,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,675.68 : 189,855.12 = 87,402.40 : x
  2. Step 2: Convert to fraction form
    137,675.68/189,855.12 = 87,402.40/x
  3. Step 3: Cross multiply
    137,675.68x = 189,855.12 × 87,402.40
  4. Step 4: Simplify right side
    137,675.68x = 16,593,793,140.29
  5. Step 5: Solve for x
    x = 16,593,793,140.29/137,675.68
  6. Step 6: Final answer
    x = 120,528.14

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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.