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Finding the Fourth Proportional to 257,574.27, 386,420.30 and 89,094.48

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Solution

The fourth proportional to 257,574.27, 386,420.30 and 89,094.48 is: 133,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,574.27 : 386,420.30 = 89,094.48 : x
  2. Step 2: Convert to fraction form
    257,574.27/386,420.30 = 89,094.48/x
  3. Step 3: Cross multiply
    257,574.27x = 386,420.30 × 89,094.48
  4. Step 4: Simplify right side
    257,574.27x = 34,427,915,689.94
  5. Step 5: Solve for x
    x = 34,427,915,689.94/257,574.27
  6. Step 6: Final answer
    x = 133,662.09

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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.