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Finding the Fourth Proportional to 111,584, 153,987 and 61,284.08

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Solution

The fourth proportional to 111,584, 153,987 and 61,284.08 is: 84,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,584 : 153,987 = 61,284.08 : x
  2. Step 2: Convert to fraction form
    111,584/153,987 = 61,284.08/x
  3. Step 3: Cross multiply
    111,584x = 153,987 × 61,284.08
  4. Step 4: Simplify right side
    111,584x = 9,436,951,626.96
  5. Step 5: Solve for x
    x = 9,436,951,626.96/111,584
  6. Step 6: Final answer
    x = 84,572.62

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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.