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Finding the Fourth Proportional to 257,505.36, 386,275.02 and 89,041.98

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Solution

The fourth proportional to 257,505.36, 386,275.02 and 89,041.98 is: 133,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,505.36 : 386,275.02 = 89,041.98 : x
  2. Step 2: Convert to fraction form
    257,505.36/386,275.02 = 89,041.98/x
  3. Step 3: Cross multiply
    257,505.36x = 386,275.02 × 89,041.98
  4. Step 4: Simplify right side
    257,505.36x = 34,394,692,605.34
  5. Step 5: Solve for x
    x = 34,394,692,605.34/257,505.36
  6. Step 6: Final answer
    x = 133,568.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.