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Finding the Fourth Proportional to 75,050, 103,574.61 and 42,785.39

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Solution

The fourth proportional to 75,050, 103,574.61 and 42,785.39 is: 59,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,050 : 103,574.61 = 42,785.39 : x
  2. Step 2: Convert to fraction form
    75,050/103,574.61 = 42,785.39/x
  3. Step 3: Cross multiply
    75,050x = 103,574.61 × 42,785.39
  4. Step 4: Simplify right side
    75,050x = 4,431,480,082.95
  5. Step 5: Solve for x
    x = 4,431,480,082.95/75,050
  6. Step 6: Final answer
    x = 59,047.04

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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.