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Finding the Fourth Proportional to 111,948.02, 154,487.49 and 61,647.02

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Solution

The fourth proportional to 111,948.02, 154,487.49 and 61,647.02 is: 85,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,948.02 : 154,487.49 = 61,647.02 : x
  2. Step 2: Convert to fraction form
    111,948.02/154,487.49 = 61,647.02/x
  3. Step 3: Cross multiply
    111,948.02x = 154,487.49 × 61,647.02
  4. Step 4: Simplify right side
    111,948.02x = 9,523,693,385.78
  5. Step 5: Solve for x
    x = 9,523,693,385.78/111,948.02
  6. Step 6: Final answer
    x = 85,072.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.