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Finding the Fourth Proportional to 121,810.50, 168,114.69 and 71,509.50

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Solution

The fourth proportional to 121,810.50, 168,114.69 and 71,509.50 is: 98,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,810.50 : 168,114.69 = 71,509.50 : x
  2. Step 2: Convert to fraction form
    121,810.50/168,114.69 = 71,509.50/x
  3. Step 3: Cross multiply
    121,810.50x = 168,114.69 × 71,509.50
  4. Step 4: Simplify right side
    121,810.50x = 12,021,797,424.56
  5. Step 5: Solve for x
    x = 12,021,797,424.56/121,810.50
  6. Step 6: Final answer
    x = 98,692.62

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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.