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Finding the Fourth Proportional to 138,070.80, 190,523.88 and 77,631.84

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Solution

The fourth proportional to 138,070.80, 190,523.88 and 77,631.84 is: 107,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,070.80 : 190,523.88 = 77,631.84 : x
  2. Step 2: Convert to fraction form
    138,070.80/190,523.88 = 77,631.84/x
  3. Step 3: Cross multiply
    138,070.80x = 190,523.88 × 77,631.84
  4. Step 4: Simplify right side
    138,070.80x = 14,790,719,368.34
  5. Step 5: Solve for x
    x = 14,790,719,368.34/138,070.80
  6. Step 6: Final answer
    x = 107,124.17

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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.