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Finding the Fourth Proportional to 77,959.68, 116,937.90 and 31,200

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Solution

The fourth proportional to 77,959.68, 116,937.90 and 31,200 is: 46,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,959.68 : 116,937.90 = 31,200 : x
  2. Step 2: Convert to fraction form
    77,959.68/116,937.90 = 31,200/x
  3. Step 3: Cross multiply
    77,959.68x = 116,937.90 × 31,200
  4. Step 4: Simplify right side
    77,959.68x = 3,648,462,480
  5. Step 5: Solve for x
    x = 3,648,462,480/77,959.68
  6. Step 6: Final answer
    x = 46,799.35

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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.