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Finding the Fourth Proportional to 78,678.48, 108,564.12 and 45,138

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Solution

The fourth proportional to 78,678.48, 108,564.12 and 45,138 is: 62,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,678.48 : 108,564.12 = 45,138 : x
  2. Step 2: Convert to fraction form
    78,678.48/108,564.12 = 45,138/x
  3. Step 3: Cross multiply
    78,678.48x = 108,564.12 × 45,138
  4. Step 4: Simplify right side
    78,678.48x = 4,900,367,248.56
  5. Step 5: Solve for x
    x = 4,900,367,248.56/78,678.48
  6. Step 6: Final answer
    x = 62,283.45

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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.