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Finding the Fourth Proportional to 208,761.60, 313,009.20 and 137,602.08

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Solution

The fourth proportional to 208,761.60, 313,009.20 and 137,602.08 is: 206,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,761.60 : 313,009.20 = 137,602.08 : x
  2. Step 2: Convert to fraction form
    208,761.60/313,009.20 = 137,602.08/x
  3. Step 3: Cross multiply
    208,761.60x = 313,009.20 × 137,602.08
  4. Step 4: Simplify right side
    208,761.60x = 43,070,716,979.14
  5. Step 5: Solve for x
    x = 43,070,716,979.14/208,761.60
  6. Step 6: Final answer
    x = 206,315.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.