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Finding the Fourth Proportional to 208,359.15, 287,534.61 and 112,866

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Solution

The fourth proportional to 208,359.15, 287,534.61 and 112,866 is: 155,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,359.15 : 287,534.61 = 112,866 : x
  2. Step 2: Convert to fraction form
    208,359.15/287,534.61 = 112,866/x
  3. Step 3: Cross multiply
    208,359.15x = 287,534.61 × 112,866
  4. Step 4: Simplify right side
    208,359.15x = 32,452,881,292.26
  5. Step 5: Solve for x
    x = 32,452,881,292.26/208,359.15
  6. Step 6: Final answer
    x = 155,754.53

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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.