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Finding the Fourth Proportional to 157,894.32, 217,895.69 and 86,274.33

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Solution

The fourth proportional to 157,894.32, 217,895.69 and 86,274.33 is: 119,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,894.32 : 217,895.69 = 86,274.33 : x
  2. Step 2: Convert to fraction form
    157,894.32/217,895.69 = 86,274.33/x
  3. Step 3: Cross multiply
    157,894.32x = 217,895.69 × 86,274.33
  4. Step 4: Simplify right side
    157,894.32x = 18,798,804,664.64
  5. Step 5: Solve for x
    x = 18,798,804,664.64/157,894.32
  6. Step 6: Final answer
    x = 119,059.41

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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.