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Finding the Fourth Proportional to 208,274.38, 287,420.01 and 112,781.08

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Solution

The fourth proportional to 208,274.38, 287,420.01 and 112,781.08 is: 155,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,274.38 : 287,420.01 = 112,781.08 : x
  2. Step 2: Convert to fraction form
    208,274.38/287,420.01 = 112,781.08/x
  3. Step 3: Cross multiply
    208,274.38x = 287,420.01 × 112,781.08
  4. Step 4: Simplify right side
    208,274.38x = 32,415,539,141.41
  5. Step 5: Solve for x
    x = 32,415,539,141.41/208,274.38
  6. Step 6: Final answer
    x = 155,638.63

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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.