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Finding the Fourth Proportional to 60,953.85, 91,407.14 and 20,965.23

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Solution

The fourth proportional to 60,953.85, 91,407.14 and 20,965.23 is: 31,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,953.85 : 91,407.14 = 20,965.23 : x
  2. Step 2: Convert to fraction form
    60,953.85/91,407.14 = 20,965.23/x
  3. Step 3: Cross multiply
    60,953.85x = 91,407.14 × 20,965.23
  4. Step 4: Simplify right side
    60,953.85x = 1,916,371,713.74
  5. Step 5: Solve for x
    x = 1,916,371,713.74/60,953.85
  6. Step 6: Final answer
    x = 31,439.72

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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.