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Finding the Fourth Proportional to 206,752.69, 285,284.59 and 121,886.16

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Solution

The fourth proportional to 206,752.69, 285,284.59 and 121,886.16 is: 168,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,752.69 : 285,284.59 = 121,886.16 : x
  2. Step 2: Convert to fraction form
    206,752.69/285,284.59 = 121,886.16/x
  3. Step 3: Cross multiply
    206,752.69x = 285,284.59 × 121,886.16
  4. Step 4: Simplify right side
    206,752.69x = 34,772,243,182.27
  5. Step 5: Solve for x
    x = 34,772,243,182.27/206,752.69
  6. Step 6: Final answer
    x = 168,182.78

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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.