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Finding the Fourth Proportional to 144,597, 199,515.50 and 90,850.88

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Solution

The fourth proportional to 144,597, 199,515.50 and 90,850.88 is: 125,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,597 : 199,515.50 = 90,850.88 : x
  2. Step 2: Convert to fraction form
    144,597/199,515.50 = 90,850.88/x
  3. Step 3: Cross multiply
    144,597x = 199,515.50 × 90,850.88
  4. Step 4: Simplify right side
    144,597x = 18,126,158,748.64
  5. Step 5: Solve for x
    x = 18,126,158,748.64/144,597
  6. Step 6: Final answer
    x = 125,356.40

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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.