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Finding the Fourth Proportional to 102,611.64, 141,663 and 78,221.16

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Solution

The fourth proportional to 102,611.64, 141,663 and 78,221.16 is: 107,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,611.64 : 141,663 = 78,221.16 : x
  2. Step 2: Convert to fraction form
    102,611.64/141,663 = 78,221.16/x
  3. Step 3: Cross multiply
    102,611.64x = 141,663 × 78,221.16
  4. Step 4: Simplify right side
    102,611.64x = 11,081,044,189.08
  5. Step 5: Solve for x
    x = 11,081,044,189.08/102,611.64
  6. Step 6: Final answer
    x = 107,990.13

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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.