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Finding the Fourth Proportional to 257,717.76, 386,484.03 and 89,192.37

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Solution

The fourth proportional to 257,717.76, 386,484.03 and 89,192.37 is: 133,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,717.76 : 386,484.03 = 89,192.37 : x
  2. Step 2: Convert to fraction form
    257,717.76/386,484.03 = 89,192.37/x
  3. Step 3: Cross multiply
    257,717.76x = 386,484.03 × 89,192.37
  4. Step 4: Simplify right side
    257,717.76x = 34,471,426,602.85
  5. Step 5: Solve for x
    x = 34,471,426,602.85/257,717.76
  6. Step 6: Final answer
    x = 133,756.50

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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.