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Finding the Fourth Proportional to 208,570.62, 287,805.92 and 128,001.54

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Solution

The fourth proportional to 208,570.62, 287,805.92 and 128,001.54 is: 176,628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,570.62 : 287,805.92 = 128,001.54 : x
  2. Step 2: Convert to fraction form
    208,570.62/287,805.92 = 128,001.54/x
  3. Step 3: Cross multiply
    208,570.62x = 287,805.92 × 128,001.54
  4. Step 4: Simplify right side
    208,570.62x = 36,839,600,341.11
  5. Step 5: Solve for x
    x = 36,839,600,341.11/208,570.62
  6. Step 6: Final answer
    x = 176,628.91

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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.