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Finding the Fourth Proportional to 61,188.68, 91,784.03 and 16,815.16

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Solution

The fourth proportional to 61,188.68, 91,784.03 and 16,815.16 is: 25,223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,188.68 : 91,784.03 = 16,815.16 : x
  2. Step 2: Convert to fraction form
    61,188.68/91,784.03 = 16,815.16/x
  3. Step 3: Cross multiply
    61,188.68x = 91,784.03 × 16,815.16
  4. Step 4: Simplify right side
    61,188.68x = 1,543,363,149.89
  5. Step 5: Solve for x
    x = 1,543,363,149.89/61,188.68
  6. Step 6: Final answer
    x = 25,223.02

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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.