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Finding the Fourth Proportional to 117,856.80, 176,871.60 and 78,400.80

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Solution

The fourth proportional to 117,856.80, 176,871.60 and 78,400.80 is: 117,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,856.80 : 176,871.60 = 78,400.80 : x
  2. Step 2: Convert to fraction form
    117,856.80/176,871.60 = 78,400.80/x
  3. Step 3: Cross multiply
    117,856.80x = 176,871.60 × 78,400.80
  4. Step 4: Simplify right side
    117,856.80x = 13,866,874,937.28
  5. Step 5: Solve for x
    x = 13,866,874,937.28/117,856.80
  6. Step 6: Final answer
    x = 117,658.68

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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.