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Finding the Fourth Proportional to 221,952.69, 306,294.56 and 119,978.15

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Solution

The fourth proportional to 221,952.69, 306,294.56 and 119,978.15 is: 165,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,952.69 : 306,294.56 = 119,978.15 : x
  2. Step 2: Convert to fraction form
    221,952.69/306,294.56 = 119,978.15/x
  3. Step 3: Cross multiply
    221,952.69x = 306,294.56 × 119,978.15
  4. Step 4: Simplify right side
    221,952.69x = 36,748,652,532.50
  5. Step 5: Solve for x
    x = 36,748,652,532.50/221,952.69
  6. Step 6: Final answer
    x = 165,569.76

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1.5x scale

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.