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Finding the Fourth Proportional to 138,149.84, 190,646.46 and 77,720.50

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Solution

The fourth proportional to 138,149.84, 190,646.46 and 77,720.50 is: 107,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,149.84 : 190,646.46 = 77,720.50 : x
  2. Step 2: Convert to fraction form
    138,149.84/190,646.46 = 77,720.50/x
  3. Step 3: Cross multiply
    138,149.84x = 190,646.46 × 77,720.50
  4. Step 4: Simplify right side
    138,149.84x = 14,817,138,194.43
  5. Step 5: Solve for x
    x = 14,817,138,194.43/138,149.84
  6. Step 6: Final answer
    x = 107,254.11

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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.