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Finding the Fourth Proportional to 78,406.74, 108,211.05 and 46,575.81

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Solution

The fourth proportional to 78,406.74, 108,211.05 and 46,575.81 is: 64,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,406.74 : 108,211.05 = 46,575.81 : x
  2. Step 2: Convert to fraction form
    78,406.74/108,211.05 = 46,575.81/x
  3. Step 3: Cross multiply
    78,406.74x = 108,211.05 × 46,575.81
  4. Step 4: Simplify right side
    78,406.74x = 5,040,017,304.70
  5. Step 5: Solve for x
    x = 5,040,017,304.70/78,406.74
  6. Step 6: Final answer
    x = 64,280.41

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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.