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Finding the Fourth Proportional to 111,509, 153,882.50 and 61,211.24

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Solution

The fourth proportional to 111,509, 153,882.50 and 61,211.24 is: 84,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,509 : 153,882.50 = 61,211.24 : x
  2. Step 2: Convert to fraction form
    111,509/153,882.50 = 61,211.24/x
  3. Step 3: Cross multiply
    111,509x = 153,882.50 × 61,211.24
  4. Step 4: Simplify right side
    111,509x = 9,419,338,639.30
  5. Step 5: Solve for x
    x = 9,419,338,639.30/111,509
  6. Step 6: Final answer
    x = 84,471.56

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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.