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Finding the Fourth Proportional to 208,710.28, 312,929.26 and 137,417.12

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Solution

The fourth proportional to 208,710.28, 312,929.26 and 137,417.12 is: 206,036.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,710.28 : 312,929.26 = 137,417.12 : x
  2. Step 2: Convert to fraction form
    208,710.28/312,929.26 = 137,417.12/x
  3. Step 3: Cross multiply
    208,710.28x = 312,929.26 × 137,417.12
  4. Step 4: Simplify right side
    208,710.28x = 43,001,837,672.93
  5. Step 5: Solve for x
    x = 43,001,837,672.93/208,710.28
  6. Step 6: Final answer
    x = 206,036.03

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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.