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Finding the Fourth Proportional to 61,783.74, 85,332.42 and 40,657.32

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Solution

The fourth proportional to 61,783.74, 85,332.42 and 40,657.32 is: 56,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,783.74 : 85,332.42 = 40,657.32 : x
  2. Step 2: Convert to fraction form
    61,783.74/85,332.42 = 40,657.32/x
  3. Step 3: Cross multiply
    61,783.74x = 85,332.42 × 40,657.32
  4. Step 4: Simplify right side
    61,783.74x = 3,469,387,506.31
  5. Step 5: Solve for x
    x = 3,469,387,506.31/61,783.74
  6. Step 6: Final answer
    x = 56,153.73

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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.