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Finding the Fourth Proportional to 136,205.96, 187,965.95 and 74,959.20

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Solution

The fourth proportional to 136,205.96, 187,965.95 and 74,959.20 is: 103,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,205.96 : 187,965.95 = 74,959.20 : x
  2. Step 2: Convert to fraction form
    136,205.96/187,965.95 = 74,959.20/x
  3. Step 3: Cross multiply
    136,205.96x = 187,965.95 × 74,959.20
  4. Step 4: Simplify right side
    136,205.96x = 14,089,775,924.61
  5. Step 5: Solve for x
    x = 14,089,775,924.61/136,205.96
  6. Step 6: Final answer
    x = 103,444.64

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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.