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Finding the Fourth Proportional to 78,677.56, 108,575.14 and 46,847.56

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Solution

The fourth proportional to 78,677.56, 108,575.14 and 46,847.56 is: 64,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,677.56 : 108,575.14 = 46,847.56 : x
  2. Step 2: Convert to fraction form
    78,677.56/108,575.14 = 46,847.56/x
  3. Step 3: Cross multiply
    78,677.56x = 108,575.14 × 46,847.56
  4. Step 4: Simplify right side
    78,677.56x = 5,086,480,385.66
  5. Step 5: Solve for x
    x = 5,086,480,385.66/78,677.56
  6. Step 6: Final answer
    x = 64,649.70

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1.5x scale

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.