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Finding the Fourth Proportional to 102,805.76, 141,937.28 and 78,887.04

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Solution

The fourth proportional to 102,805.76, 141,937.28 and 78,887.04 is: 108,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,805.76 : 141,937.28 = 78,887.04 : x
  2. Step 2: Convert to fraction form
    102,805.76/141,937.28 = 78,887.04/x
  3. Step 3: Cross multiply
    102,805.76x = 141,937.28 × 78,887.04
  4. Step 4: Simplify right side
    102,805.76x = 11,197,011,884.85
  5. Step 5: Solve for x
    x = 11,197,011,884.85/102,805.76
  6. Step 6: Final answer
    x = 108,914.25

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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.