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Finding the Fourth Proportional to 208,569.47, 312,854.13 and 75,418.63

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Solution

The fourth proportional to 208,569.47, 312,854.13 and 75,418.63 is: 113,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,569.47 : 312,854.13 = 75,418.63 : x
  2. Step 2: Convert to fraction form
    208,569.47/312,854.13 = 75,418.63/x
  3. Step 3: Cross multiply
    208,569.47x = 312,854.13 × 75,418.63
  4. Step 4: Simplify right side
    208,569.47x = 23,595,029,092.31
  5. Step 5: Solve for x
    x = 23,595,029,092.31/208,569.47
  6. Step 6: Final answer
    x = 113,127.92

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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.