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Finding the Fourth Proportional to 61,784.74, 85,333.80 and 40,658.32

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Solution

The fourth proportional to 61,784.74, 85,333.80 and 40,658.32 is: 56,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,784.74 : 85,333.80 = 40,658.32 : x
  2. Step 2: Convert to fraction form
    61,784.74/85,333.80 = 40,658.32/x
  3. Step 3: Cross multiply
    61,784.74x = 85,333.80 × 40,658.32
  4. Step 4: Simplify right side
    61,784.74x = 3,469,528,947.22
  5. Step 5: Solve for x
    x = 3,469,528,947.22/61,784.74
  6. Step 6: Final answer
    x = 56,155.11

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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.