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Finding the Fourth Proportional to 78,118.83, 107,543.30 and 74,548.55

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Solution

The fourth proportional to 78,118.83, 107,543.30 and 74,548.55 is: 102,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,118.83 : 107,543.30 = 74,548.55 : x
  2. Step 2: Convert to fraction form
    78,118.83/107,543.30 = 74,548.55/x
  3. Step 3: Cross multiply
    78,118.83x = 107,543.30 × 74,548.55
  4. Step 4: Simplify right side
    78,118.83x = 8,017,196,973.33
  5. Step 5: Solve for x
    x = 8,017,196,973.33/78,118.83
  6. Step 6: Final answer
    x = 102,628.23

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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.