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Finding the Fourth Proportional to 77,411.61, 106,836.56 and 43,423.41

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Solution

The fourth proportional to 77,411.61, 106,836.56 and 43,423.41 is: 59,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,411.61 : 106,836.56 = 43,423.41 : x
  2. Step 2: Convert to fraction form
    77,411.61/106,836.56 = 43,423.41/x
  3. Step 3: Cross multiply
    77,411.61x = 106,836.56 × 43,423.41
  4. Step 4: Simplify right side
    77,411.61x = 4,639,207,530.75
  5. Step 5: Solve for x
    x = 4,639,207,530.75/77,411.61
  6. Step 6: Final answer
    x = 59,929.09

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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.