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Finding the Fourth Proportional to 77,335.68, 106,719.52 and 43,340

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Solution

The fourth proportional to 77,335.68, 106,719.52 and 43,340 is: 59,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,335.68 : 106,719.52 = 43,340 : x
  2. Step 2: Convert to fraction form
    77,335.68/106,719.52 = 43,340/x
  3. Step 3: Cross multiply
    77,335.68x = 106,719.52 × 43,340
  4. Step 4: Simplify right side
    77,335.68x = 4,625,223,996.80
  5. Step 5: Solve for x
    x = 4,625,223,996.80/77,335.68
  6. Step 6: Final answer
    x = 59,807.12

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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.