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Finding the Fourth Proportional to 230,459.48, 345,660.06 and 90,316.52

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Solution

The fourth proportional to 230,459.48, 345,660.06 and 90,316.52 is: 135,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,459.48 : 345,660.06 = 90,316.52 : x
  2. Step 2: Convert to fraction form
    230,459.48/345,660.06 = 90,316.52/x
  3. Step 3: Cross multiply
    230,459.48x = 345,660.06 × 90,316.52
  4. Step 4: Simplify right side
    230,459.48x = 31,218,813,722.19
  5. Step 5: Solve for x
    x = 31,218,813,722.19/230,459.48
  6. Step 6: Final answer
    x = 135,463.35

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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.