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Finding the Fourth Proportional to 76,356.56, 114,417.95 and 31,959.15

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Solution

The fourth proportional to 76,356.56, 114,417.95 and 31,959.15 is: 47,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,356.56 : 114,417.95 = 31,959.15 : x
  2. Step 2: Convert to fraction form
    76,356.56/114,417.95 = 31,959.15/x
  3. Step 3: Cross multiply
    76,356.56x = 114,417.95 × 31,959.15
  4. Step 4: Simplify right side
    76,356.56x = 3,656,700,426.74
  5. Step 5: Solve for x
    x = 3,656,700,426.74/76,356.56
  6. Step 6: Final answer
    x = 47,889.80

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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.