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Finding the Fourth Proportional to 157,908.74, 217,914.64 and 86,288.77

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Solution

The fourth proportional to 157,908.74, 217,914.64 and 86,288.77 is: 119,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,908.74 : 217,914.64 = 86,288.77 : x
  2. Step 2: Convert to fraction form
    157,908.74/217,914.64 = 86,288.77/x
  3. Step 3: Cross multiply
    157,908.74x = 217,914.64 × 86,288.77
  4. Step 4: Simplify right side
    157,908.74x = 18,803,586,250.59
  5. Step 5: Solve for x
    x = 18,803,586,250.59/157,908.74
  6. Step 6: Final answer
    x = 119,078.82

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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.