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Finding the Fourth Proportional to 151,430.65, 208,971.48 and 83,453.92

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Solution

The fourth proportional to 151,430.65, 208,971.48 and 83,453.92 is: 115,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,430.65 : 208,971.48 = 83,453.92 : x
  2. Step 2: Convert to fraction form
    151,430.65/208,971.48 = 83,453.92/x
  3. Step 3: Cross multiply
    151,430.65x = 208,971.48 × 83,453.92
  4. Step 4: Simplify right side
    151,430.65x = 17,439,489,174.20
  5. Step 5: Solve for x
    x = 17,439,489,174.20/151,430.65
  6. Step 6: Final answer
    x = 115,164.86

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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.