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Finding the Fourth Proportional to 106,721.70, 160,082.55 and 99,809.70

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Solution

The fourth proportional to 106,721.70, 160,082.55 and 99,809.70 is: 149,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,721.70 : 160,082.55 = 99,809.70 : x
  2. Step 2: Convert to fraction form
    106,721.70/160,082.55 = 99,809.70/x
  3. Step 3: Cross multiply
    106,721.70x = 160,082.55 × 99,809.70
  4. Step 4: Simplify right side
    106,721.70x = 15,977,791,290.74
  5. Step 5: Solve for x
    x = 15,977,791,290.74/106,721.70
  6. Step 6: Final answer
    x = 149,714.55

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1.5x scale

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.