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Finding the Fourth Proportional to 209,407.84, 314,085.72 and 67,241.92

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Solution

The fourth proportional to 209,407.84, 314,085.72 and 67,241.92 is: 100,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,407.84 : 314,085.72 = 67,241.92 : x
  2. Step 2: Convert to fraction form
    209,407.84/314,085.72 = 67,241.92/x
  3. Step 3: Cross multiply
    209,407.84x = 314,085.72 × 67,241.92
  4. Step 4: Simplify right side
    209,407.84x = 21,119,726,857.38
  5. Step 5: Solve for x
    x = 21,119,726,857.38/209,407.84
  6. Step 6: Final answer
    x = 100,854.52

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1.5x scale

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.