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Finding the Fourth Proportional to 77,348.71, 106,721.31 and 45,511.66

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Solution

The fourth proportional to 77,348.71, 106,721.31 and 45,511.66 is: 62,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,348.71 : 106,721.31 = 45,511.66 : x
  2. Step 2: Convert to fraction form
    77,348.71/106,721.31 = 45,511.66/x
  3. Step 3: Cross multiply
    77,348.71x = 106,721.31 × 45,511.66
  4. Step 4: Simplify right side
    77,348.71x = 4,857,063,975.47
  5. Step 5: Solve for x
    x = 4,857,063,975.47/77,348.71
  6. Step 6: Final answer
    x = 62,794.38

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1.5x scale

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.