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Finding the Fourth Proportional to 208,921.50, 288,315.06 and 118,275.12

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Solution

The fourth proportional to 208,921.50, 288,315.06 and 118,275.12 is: 163,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,921.50 : 288,315.06 = 118,275.12 : x
  2. Step 2: Convert to fraction form
    208,921.50/288,315.06 = 118,275.12/x
  3. Step 3: Cross multiply
    208,921.50x = 288,315.06 × 118,275.12
  4. Step 4: Simplify right side
    208,921.50x = 34,100,498,319.31
  5. Step 5: Solve for x
    x = 34,100,498,319.31/208,921.50
  6. Step 6: Final answer
    x = 163,221.58

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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.