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Finding the Fourth Proportional to 86,306.31, 129,459.80 and 30,146.20

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Solution

The fourth proportional to 86,306.31, 129,459.80 and 30,146.20 is: 45,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,306.31 : 129,459.80 = 30,146.20 : x
  2. Step 2: Convert to fraction form
    86,306.31/129,459.80 = 30,146.20/x
  3. Step 3: Cross multiply
    86,306.31x = 129,459.80 × 30,146.20
  4. Step 4: Simplify right side
    86,306.31x = 3,902,720,661.43
  5. Step 5: Solve for x
    x = 3,902,720,661.43/86,306.31
  6. Step 6: Final answer
    x = 45,219.41

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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.