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Finding the Fourth Proportional to 208,282.78, 287,430.39 and 112,789.58

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Solution

The fourth proportional to 208,282.78, 287,430.39 and 112,789.58 is: 155,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,282.78 : 287,430.39 = 112,789.58 : x
  2. Step 2: Convert to fraction form
    208,282.78/287,430.39 = 112,789.58/x
  3. Step 3: Cross multiply
    208,282.78x = 287,430.39 × 112,789.58
  4. Step 4: Simplify right side
    208,282.78x = 32,419,152,967.34
  5. Step 5: Solve for x
    x = 32,419,152,967.34/208,282.78
  6. Step 6: Final answer
    x = 155,649.70

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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.