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Finding the Fourth Proportional to 208,243.80, 287,376.08 and 112,750.47

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Solution

The fourth proportional to 208,243.80, 287,376.08 and 112,750.47 is: 155,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,243.80 : 287,376.08 = 112,750.47 : x
  2. Step 2: Convert to fraction form
    208,243.80/287,376.08 = 112,750.47/x
  3. Step 3: Cross multiply
    208,243.80x = 287,376.08 × 112,750.47
  4. Step 4: Simplify right side
    208,243.80x = 32,401,787,523.01
  5. Step 5: Solve for x
    x = 32,401,787,523.01/208,243.80
  6. Step 6: Final answer
    x = 155,595.45

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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.