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Finding the Fourth Proportional to 208,273.88, 287,419.32 and 112,780.58

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Solution

The fourth proportional to 208,273.88, 287,419.32 and 112,780.58 is: 155,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,273.88 : 287,419.32 = 112,780.58 : x
  2. Step 2: Convert to fraction form
    208,273.88/287,419.32 = 112,780.58/x
  3. Step 3: Cross multiply
    208,273.88x = 287,419.32 × 112,780.58
  4. Step 4: Simplify right side
    208,273.88x = 32,415,317,612.81
  5. Step 5: Solve for x
    x = 32,415,317,612.81/208,273.88
  6. Step 6: Final answer
    x = 155,637.94

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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.