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Finding the Fourth Proportional to 138,063.10, 190,520.12 and 77,630.14

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Solution

The fourth proportional to 138,063.10, 190,520.12 and 77,630.14 is: 107,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,063.10 : 190,520.12 = 77,630.14 : x
  2. Step 2: Convert to fraction form
    138,063.10/190,520.12 = 77,630.14/x
  3. Step 3: Cross multiply
    138,063.10x = 190,520.12 × 77,630.14
  4. Step 4: Simplify right side
    138,063.10x = 14,790,103,588.42
  5. Step 5: Solve for x
    x = 14,790,103,588.42/138,063.10
  6. Step 6: Final answer
    x = 107,125.68

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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.