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Finding the Fourth Proportional to 145,438, 200,761.60 and 91,712.32

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Solution

The fourth proportional to 145,438, 200,761.60 and 91,712.32 is: 126,599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,438 : 200,761.60 = 91,712.32 : x
  2. Step 2: Convert to fraction form
    145,438/200,761.60 = 91,712.32/x
  3. Step 3: Cross multiply
    145,438x = 200,761.60 × 91,712.32
  4. Step 4: Simplify right side
    145,438x = 18,412,312,102.91
  5. Step 5: Solve for x
    x = 18,412,312,102.91/145,438
  6. Step 6: Final answer
    x = 126,599.05

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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.