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Finding the Fourth Proportional to 78,197.76, 117,295.92 and 28,258.92

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Solution

The fourth proportional to 78,197.76, 117,295.92 and 28,258.92 is: 42,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.76 : 117,295.92 = 28,258.92 : x
  2. Step 2: Convert to fraction form
    78,197.76/117,295.92 = 28,258.92/x
  3. Step 3: Cross multiply
    78,197.76x = 117,295.92 × 28,258.92
  4. Step 4: Simplify right side
    78,197.76x = 3,314,656,019.61
  5. Step 5: Solve for x
    x = 3,314,656,019.61/78,197.76
  6. Step 6: Final answer
    x = 42,388.12

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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.