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Finding the Fourth Proportional to 121,762.80, 182,211.66 and 74,363.22

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Solution

The fourth proportional to 121,762.80, 182,211.66 and 74,363.22 is: 111,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,762.80 : 182,211.66 = 74,363.22 : x
  2. Step 2: Convert to fraction form
    121,762.80/182,211.66 = 74,363.22/x
  3. Step 3: Cross multiply
    121,762.80x = 182,211.66 × 74,363.22
  4. Step 4: Simplify right side
    121,762.80x = 13,549,845,759.15
  5. Step 5: Solve for x
    x = 13,549,845,759.15/121,762.80
  6. Step 6: Final answer
    x = 111,280.67

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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.