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Finding the Fourth Proportional to 230,230.78, 345,383.07 and 97,130.64

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Solution

The fourth proportional to 230,230.78, 345,383.07 and 97,130.64 is: 145,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,230.78 : 345,383.07 = 97,130.64 : x
  2. Step 2: Convert to fraction form
    230,230.78/345,383.07 = 97,130.64/x
  3. Step 3: Cross multiply
    230,230.78x = 345,383.07 × 97,130.64
  4. Step 4: Simplify right side
    230,230.78x = 33,547,278,148.61
  5. Step 5: Solve for x
    x = 33,547,278,148.61/230,230.78
  6. Step 6: Final answer
    x = 145,711.53

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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.