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Finding the Fourth Proportional to 208,162.90, 287,271.73 and 127,574.84

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Solution

The fourth proportional to 208,162.90, 287,271.73 and 127,574.84 is: 176,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,162.90 : 287,271.73 = 127,574.84 : x
  2. Step 2: Convert to fraction form
    208,162.90/287,271.73 = 127,574.84/x
  3. Step 3: Cross multiply
    208,162.90x = 287,271.73 × 127,574.84
  4. Step 4: Simplify right side
    208,162.90x = 36,648,644,991.27
  5. Step 5: Solve for x
    x = 36,648,644,991.27/208,162.90
  6. Step 6: Final answer
    x = 176,057.53

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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.