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Finding the Fourth Proportional to 288,059.41, 432,036.87 and 77,648.14

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Solution

The fourth proportional to 288,059.41, 432,036.87 and 77,648.14 is: 116,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,059.41 : 432,036.87 = 77,648.14 : x
  2. Step 2: Convert to fraction form
    288,059.41/432,036.87 = 77,648.14/x
  3. Step 3: Cross multiply
    288,059.41x = 432,036.87 × 77,648.14
  4. Step 4: Simplify right side
    288,059.41x = 33,546,859,366.92
  5. Step 5: Solve for x
    x = 33,546,859,366.92/288,059.41
  6. Step 6: Final answer
    x = 116,458.13

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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.