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Finding the Fourth Proportional to 61,142.63, 91,690.70 and 25,606.31

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Solution

The fourth proportional to 61,142.63, 91,690.70 and 25,606.31 is: 38,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,142.63 : 91,690.70 = 25,606.31 : x
  2. Step 2: Convert to fraction form
    61,142.63/91,690.70 = 25,606.31/x
  3. Step 3: Cross multiply
    61,142.63x = 91,690.70 × 25,606.31
  4. Step 4: Simplify right side
    61,142.63x = 2,347,859,901.83
  5. Step 5: Solve for x
    x = 2,347,859,901.83/61,142.63
  6. Step 6: Final answer
    x = 38,399.72

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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.