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Finding the Fourth Proportional to 78,544.50, 108,390.57 and 46,712.70

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Solution

The fourth proportional to 78,544.50, 108,390.57 and 46,712.70 is: 64,463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,544.50 : 108,390.57 = 46,712.70 : x
  2. Step 2: Convert to fraction form
    78,544.50/108,390.57 = 46,712.70/x
  3. Step 3: Cross multiply
    78,544.50x = 108,390.57 × 46,712.70
  4. Step 4: Simplify right side
    78,544.50x = 5,063,216,179.24
  5. Step 5: Solve for x
    x = 5,063,216,179.24/78,544.50
  6. Step 6: Final answer
    x = 64,463.03

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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.