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Finding the Fourth Proportional to 78,948, 108,948.24 and 45,414

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Solution

The fourth proportional to 78,948, 108,948.24 and 45,414 is: 62,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,948 : 108,948.24 = 45,414 : x
  2. Step 2: Convert to fraction form
    78,948/108,948.24 = 45,414/x
  3. Step 3: Cross multiply
    78,948x = 108,948.24 × 45,414
  4. Step 4: Simplify right side
    78,948x = 4,947,775,371.36
  5. Step 5: Solve for x
    x = 4,947,775,371.36/78,948
  6. Step 6: Final answer
    x = 62,671.32

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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.