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Finding the Fourth Proportional to 208,114.38, 287,197.84 and 112,621.07

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Solution

The fourth proportional to 208,114.38, 287,197.84 and 112,621.07 is: 155,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,114.38 : 287,197.84 = 112,621.07 : x
  2. Step 2: Convert to fraction form
    208,114.38/287,197.84 = 112,621.07/x
  3. Step 3: Cross multiply
    208,114.38x = 287,197.84 × 112,621.07
  4. Step 4: Simplify right side
    208,114.38x = 32,344,528,042.49
  5. Step 5: Solve for x
    x = 32,344,528,042.49/208,114.38
  6. Step 6: Final answer
    x = 155,417.08

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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.