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Finding the Fourth Proportional to 78,494.86, 108,319.61 and 44,505.63

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Solution

The fourth proportional to 78,494.86, 108,319.61 and 44,505.63 is: 61,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,494.86 : 108,319.61 = 44,505.63 : x
  2. Step 2: Convert to fraction form
    78,494.86/108,319.61 = 44,505.63/x
  3. Step 3: Cross multiply
    78,494.86x = 108,319.61 × 44,505.63
  4. Step 4: Simplify right side
    78,494.86x = 4,820,832,484.40
  5. Step 5: Solve for x
    x = 4,820,832,484.40/78,494.86
  6. Step 6: Final answer
    x = 61,415.90

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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.