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Finding the Fourth Proportional to 116,123.84, 160,252.80 and 65,821.76

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Solution

The fourth proportional to 116,123.84, 160,252.80 and 65,821.76 is: 90,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,123.84 : 160,252.80 = 65,821.76 : x
  2. Step 2: Convert to fraction form
    116,123.84/160,252.80 = 65,821.76/x
  3. Step 3: Cross multiply
    116,123.84x = 160,252.80 × 65,821.76
  4. Step 4: Simplify right side
    116,123.84x = 10,548,121,340.93
  5. Step 5: Solve for x
    x = 10,548,121,340.93/116,123.84
  6. Step 6: Final answer
    x = 90,835.11

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1.5x scale

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.