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Finding the Fourth Proportional to 257,502.36, 386,270.52 and 89,038.98

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Solution

The fourth proportional to 257,502.36, 386,270.52 and 89,038.98 is: 133,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,502.36 : 386,270.52 = 89,038.98 : x
  2. Step 2: Convert to fraction form
    257,502.36/386,270.52 = 89,038.98/x
  3. Step 3: Cross multiply
    257,502.36x = 386,270.52 × 89,038.98
  4. Step 4: Simplify right side
    257,502.36x = 34,393,133,104.87
  5. Step 5: Solve for x
    x = 34,393,133,104.87/257,502.36
  6. Step 6: Final answer
    x = 133,564.34

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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.