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Finding the Fourth Proportional to 153,983.70, 231,213.15 and 83,999.70

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Solution

The fourth proportional to 153,983.70, 231,213.15 and 83,999.70 is: 126,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,983.70 : 231,213.15 = 83,999.70 : x
  2. Step 2: Convert to fraction form
    153,983.70/231,213.15 = 83,999.70/x
  3. Step 3: Cross multiply
    153,983.70x = 231,213.15 × 83,999.70
  4. Step 4: Simplify right side
    153,983.70x = 19,421,835,236.06
  5. Step 5: Solve for x
    x = 19,421,835,236.06/153,983.70
  6. Step 6: Final answer
    x = 126,129.16

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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.