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Finding the Fourth Proportional to 208,482.30, 287,697.87 and 112,986.95

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Solution

The fourth proportional to 208,482.30, 287,697.87 and 112,986.95 is: 155,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,482.30 : 287,697.87 = 112,986.95 : x
  2. Step 2: Convert to fraction form
    208,482.30/287,697.87 = 112,986.95/x
  3. Step 3: Cross multiply
    208,482.30x = 287,697.87 × 112,986.95
  4. Step 4: Simplify right side
    208,482.30x = 32,506,103,414.31
  5. Step 5: Solve for x
    x = 32,506,103,414.31/208,482.30
  6. Step 6: Final answer
    x = 155,917.81

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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.