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Finding the Fourth Proportional to 157,894.26, 217,896.93 and 86,277.30

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Solution

The fourth proportional to 157,894.26, 217,896.93 and 86,277.30 is: 119,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,894.26 : 217,896.93 = 86,277.30 : x
  2. Step 2: Convert to fraction form
    157,894.26/217,896.93 = 86,277.30/x
  3. Step 3: Cross multiply
    157,894.26x = 217,896.93 × 86,277.30
  4. Step 4: Simplify right side
    157,894.26x = 18,799,558,798.69
  5. Step 5: Solve for x
    x = 18,799,558,798.69/157,894.26
  6. Step 6: Final answer
    x = 119,064.23

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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.