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Finding the Fourth Proportional to 145,117.24, 217,738.24 and 75,045.76

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Solution

The fourth proportional to 145,117.24, 217,738.24 and 75,045.76 is: 112,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,117.24 : 217,738.24 = 75,045.76 : x
  2. Step 2: Convert to fraction form
    145,117.24/217,738.24 = 75,045.76/x
  3. Step 3: Cross multiply
    145,117.24x = 217,738.24 × 75,045.76
  4. Step 4: Simplify right side
    145,117.24x = 16,340,330,969.90
  5. Step 5: Solve for x
    x = 16,340,330,969.90/145,117.24
  6. Step 6: Final answer
    x = 112,600.90

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1.5x scale

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.