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Finding the Fourth Proportional to 120,091.59, 179,888.28 and 70,019.82

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Solution

The fourth proportional to 120,091.59, 179,888.28 and 70,019.82 is: 104,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,091.59 : 179,888.28 = 70,019.82 : x
  2. Step 2: Convert to fraction form
    120,091.59/179,888.28 = 70,019.82/x
  3. Step 3: Cross multiply
    120,091.59x = 179,888.28 × 70,019.82
  4. Step 4: Simplify right side
    120,091.59x = 12,595,744,985.71
  5. Step 5: Solve for x
    x = 12,595,744,985.71/120,091.59
  6. Step 6: Final answer
    x = 104,884.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.