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Finding the Fourth Proportional to 208,042.68, 287,098.64 and 112,549.08

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Solution

The fourth proportional to 208,042.68, 287,098.64 and 112,549.08 is: 155,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,042.68 : 287,098.64 = 112,549.08 : x
  2. Step 2: Convert to fraction form
    208,042.68/287,098.64 = 112,549.08/x
  3. Step 3: Cross multiply
    208,042.68x = 287,098.64 × 112,549.08
  4. Step 4: Simplify right side
    208,042.68x = 32,312,687,801.25
  5. Step 5: Solve for x
    x = 32,312,687,801.25/208,042.68
  6. Step 6: Final answer
    x = 155,317.59

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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.