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Finding the Fourth Proportional to 78,882.57, 108,803.94 and 47,026.89

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Solution

The fourth proportional to 78,882.57, 108,803.94 and 47,026.89 is: 64,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,882.57 : 108,803.94 = 47,026.89 : x
  2. Step 2: Convert to fraction form
    78,882.57/108,803.94 = 47,026.89/x
  3. Step 3: Cross multiply
    78,882.57x = 108,803.94 × 47,026.89
  4. Step 4: Simplify right side
    78,882.57x = 5,116,710,917.95
  5. Step 5: Solve for x
    x = 5,116,710,917.95/78,882.57
  6. Step 6: Final answer
    x = 64,864.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.