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Finding the Fourth Proportional to 209,655.68, 314,386.70 and 67,474.48

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Solution

The fourth proportional to 209,655.68, 314,386.70 and 67,474.48 is: 101,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,655.68 : 314,386.70 = 67,474.48 : x
  2. Step 2: Convert to fraction form
    209,655.68/314,386.70 = 67,474.48/x
  3. Step 3: Cross multiply
    209,655.68x = 314,386.70 × 67,474.48
  4. Step 4: Simplify right side
    209,655.68x = 21,213,079,101.42
  5. Step 5: Solve for x
    x = 21,213,079,101.42/209,655.68
  6. Step 6: Final answer
    x = 101,180.56

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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.