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Finding the Fourth Proportional to 102,287.68, 141,200.64 and 68,773.12

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Solution

The fourth proportional to 102,287.68, 141,200.64 and 68,773.12 is: 94,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,287.68 : 141,200.64 = 68,773.12 : x
  2. Step 2: Convert to fraction form
    102,287.68/141,200.64 = 68,773.12/x
  3. Step 3: Cross multiply
    102,287.68x = 141,200.64 × 68,773.12
  4. Step 4: Simplify right side
    102,287.68x = 9,710,808,558.80
  5. Step 5: Solve for x
    x = 9,710,808,558.80/102,287.68
  6. Step 6: Final answer
    x = 94,936.25

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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.