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Finding the Fourth Proportional to 111,948.32, 154,488.52 and 61,647.32

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Solution

The fourth proportional to 111,948.32, 154,488.52 and 61,647.32 is: 85,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,948.32 : 154,488.52 = 61,647.32 : x
  2. Step 2: Convert to fraction form
    111,948.32/154,488.52 = 61,647.32/x
  3. Step 3: Cross multiply
    111,948.32x = 154,488.52 × 61,647.32
  4. Step 4: Simplify right side
    111,948.32x = 9,523,803,228.77
  5. Step 5: Solve for x
    x = 9,523,803,228.77/111,948.32
  6. Step 6: Final answer
    x = 85,073.21

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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.