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Finding the Fourth Proportional to 102,116.70, 153,175.05 and 52,180.20

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Solution

The fourth proportional to 102,116.70, 153,175.05 and 52,180.20 is: 78,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,116.70 : 153,175.05 = 52,180.20 : x
  2. Step 2: Convert to fraction form
    102,116.70/153,175.05 = 52,180.20/x
  3. Step 3: Cross multiply
    102,116.70x = 153,175.05 × 52,180.20
  4. Step 4: Simplify right side
    102,116.70x = 7,992,704,744.01
  5. Step 5: Solve for x
    x = 7,992,704,744.01/102,116.70
  6. Step 6: Final answer
    x = 78,270.30

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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.