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Finding the Fourth Proportional to 153,221.80, 230,019.90 and 86,708.20

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Solution

The fourth proportional to 153,221.80, 230,019.90 and 86,708.20 is: 130,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,221.80 : 230,019.90 = 86,708.20 : x
  2. Step 2: Convert to fraction form
    153,221.80/230,019.90 = 86,708.20/x
  3. Step 3: Cross multiply
    153,221.80x = 230,019.90 × 86,708.20
  4. Step 4: Simplify right side
    153,221.80x = 19,944,611,493.18
  5. Step 5: Solve for x
    x = 19,944,611,493.18/153,221.80
  6. Step 6: Final answer
    x = 130,168.24

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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.