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Finding the Fourth Proportional to 208,100.70, 287,178.39 and 112,609.02

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Solution

The fourth proportional to 208,100.70, 287,178.39 and 112,609.02 is: 155,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,100.70 : 287,178.39 = 112,609.02 : x
  2. Step 2: Convert to fraction form
    208,100.70/287,178.39 = 112,609.02/x
  3. Step 3: Cross multiply
    208,100.70x = 287,178.39 × 112,609.02
  4. Step 4: Simplify right side
    208,100.70x = 32,338,877,063.08
  5. Step 5: Solve for x
    x = 32,338,877,063.08/208,100.70
  6. Step 6: Final answer
    x = 155,400.14

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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.