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Finding the Fourth Proportional to 288,095.91, 432,143.87 and 77,733.85

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Solution

The fourth proportional to 288,095.91, 432,143.87 and 77,733.85 is: 116,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,095.91 : 432,143.87 = 77,733.85 : x
  2. Step 2: Convert to fraction form
    288,095.91/432,143.87 = 77,733.85/x
  3. Step 3: Cross multiply
    288,095.91x = 432,143.87 × 77,733.85
  4. Step 4: Simplify right side
    288,095.91x = 33,592,206,769.00
  5. Step 5: Solve for x
    x = 33,592,206,769.00/288,095.91
  6. Step 6: Final answer
    x = 116,600.78

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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.