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Finding the Fourth Proportional to 151,347.68, 208,857.88 and 83,363.28

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Solution

The fourth proportional to 151,347.68, 208,857.88 and 83,363.28 is: 115,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,347.68 : 208,857.88 = 83,363.28 : x
  2. Step 2: Convert to fraction form
    151,347.68/208,857.88 = 83,363.28/x
  3. Step 3: Cross multiply
    151,347.68x = 208,857.88 × 83,363.28
  4. Step 4: Simplify right side
    151,347.68x = 17,411,077,930.65
  5. Step 5: Solve for x
    x = 17,411,077,930.65/151,347.68
  6. Step 6: Final answer
    x = 115,040.27

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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.