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Finding the Fourth Proportional to 153,238.40, 229,922.40 and 97,121.60

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Solution

The fourth proportional to 153,238.40, 229,922.40 and 97,121.60 is: 145,723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,238.40 : 229,922.40 = 97,121.60 : x
  2. Step 2: Convert to fraction form
    153,238.40/229,922.40 = 97,121.60/x
  3. Step 3: Cross multiply
    153,238.40x = 229,922.40 × 97,121.60
  4. Step 4: Simplify right side
    153,238.40x = 22,330,431,363.84
  5. Step 5: Solve for x
    x = 22,330,431,363.84/153,238.40
  6. Step 6: Final answer
    x = 145,723.47

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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.