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Finding the Fourth Proportional to 208,126.80, 287,215.90 and 112,633.51

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Solution

The fourth proportional to 208,126.80, 287,215.90 and 112,633.51 is: 155,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,126.80 : 287,215.90 = 112,633.51 : x
  2. Step 2: Convert to fraction form
    208,126.80/287,215.90 = 112,633.51/x
  3. Step 3: Cross multiply
    208,126.80x = 287,215.90 × 112,633.51
  4. Step 4: Simplify right side
    208,126.80x = 32,350,133,945.19
  5. Step 5: Solve for x
    x = 32,350,133,945.19/208,126.80
  6. Step 6: Final answer
    x = 155,434.73

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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.