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Finding the Fourth Proportional to 145,162.52, 200,319.14 and 81,503

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Solution

The fourth proportional to 145,162.52, 200,319.14 and 81,503 is: 112,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,162.52 : 200,319.14 = 81,503 : x
  2. Step 2: Convert to fraction form
    145,162.52/200,319.14 = 81,503/x
  3. Step 3: Cross multiply
    145,162.52x = 200,319.14 × 81,503
  4. Step 4: Simplify right side
    145,162.52x = 16,326,610,867.42
  5. Step 5: Solve for x
    x = 16,326,610,867.42/145,162.52
  6. Step 6: Final answer
    x = 112,471.26

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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.