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Finding the Fourth Proportional to 78,776.83, 108,708.10 and 44,780.86

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Solution

The fourth proportional to 78,776.83, 108,708.10 and 44,780.86 is: 61,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,776.83 : 108,708.10 = 44,780.86 : x
  2. Step 2: Convert to fraction form
    78,776.83/108,708.10 = 44,780.86/x
  3. Step 3: Cross multiply
    78,776.83x = 108,708.10 × 44,780.86
  4. Step 4: Simplify right side
    78,776.83x = 4,868,041,823.24
  5. Step 5: Solve for x
    x = 4,868,041,823.24/78,776.83
  6. Step 6: Final answer
    x = 61,795.35

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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.