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Finding the Fourth Proportional to 151,277.65, 208,761.42 and 83,293.20

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Solution

The fourth proportional to 151,277.65, 208,761.42 and 83,293.20 is: 114,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,277.65 : 208,761.42 = 83,293.20 : x
  2. Step 2: Convert to fraction form
    151,277.65/208,761.42 = 83,293.20/x
  3. Step 3: Cross multiply
    151,277.65x = 208,761.42 × 83,293.20
  4. Step 4: Simplify right side
    151,277.65x = 17,388,406,708.34
  5. Step 5: Solve for x
    x = 17,388,406,708.34/151,277.65
  6. Step 6: Final answer
    x = 114,943.66

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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.