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Finding the Fourth Proportional to 75,602.30, 104,287.72 and 47,258.78

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Solution

The fourth proportional to 75,602.30, 104,287.72 and 47,258.78 is: 65,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,602.30 : 104,287.72 = 47,258.78 : x
  2. Step 2: Convert to fraction form
    75,602.30/104,287.72 = 47,258.78/x
  3. Step 3: Cross multiply
    75,602.30x = 104,287.72 × 47,258.78
  4. Step 4: Simplify right side
    75,602.30x = 4,928,509,658.45
  5. Step 5: Solve for x
    x = 4,928,509,658.45/75,602.30
  6. Step 6: Final answer
    x = 65,189.95

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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.