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Finding the Fourth Proportional to 208,739.84, 288,210.76 and 128,275.25

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Solution

The fourth proportional to 208,739.84, 288,210.76 and 128,275.25 is: 177,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,739.84 : 288,210.76 = 128,275.25 : x
  2. Step 2: Convert to fraction form
    208,739.84/288,210.76 = 128,275.25/x
  3. Step 3: Cross multiply
    208,739.84x = 288,210.76 × 128,275.25
  4. Step 4: Simplify right side
    208,739.84x = 36,970,305,529.95
  5. Step 5: Solve for x
    x = 36,970,305,529.95/208,739.84
  6. Step 6: Final answer
    x = 177,111.88

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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.