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Finding the Fourth Proportional to 78,657.77, 108,548.01 and 42,847.44

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Solution

The fourth proportional to 78,657.77, 108,548.01 and 42,847.44 is: 59,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,657.77 : 108,548.01 = 42,847.44 : x
  2. Step 2: Convert to fraction form
    78,657.77/108,548.01 = 42,847.44/x
  3. Step 3: Cross multiply
    78,657.77x = 108,548.01 × 42,847.44
  4. Step 4: Simplify right side
    78,657.77x = 4,651,004,345.59
  5. Step 5: Solve for x
    x = 4,651,004,345.59/78,657.77
  6. Step 6: Final answer
    x = 59,129.63

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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.