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Finding the Fourth Proportional to 61,687.64, 85,039.80 and 40,430

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Solution

The fourth proportional to 61,687.64, 85,039.80 and 40,430 is: 55,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,687.64 : 85,039.80 = 40,430 : x
  2. Step 2: Convert to fraction form
    61,687.64/85,039.80 = 40,430/x
  3. Step 3: Cross multiply
    61,687.64x = 85,039.80 × 40,430
  4. Step 4: Simplify right side
    61,687.64x = 3,438,159,114
  5. Step 5: Solve for x
    x = 3,438,159,114/61,687.64
  6. Step 6: Final answer
    x = 55,734.98

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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.