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Finding the Fourth Proportional to 157,652.37, 217,564.92 and 86,037.03

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Solution

The fourth proportional to 157,652.37, 217,564.92 and 86,037.03 is: 118,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,652.37 : 217,564.92 = 86,037.03 : x
  2. Step 2: Convert to fraction form
    157,652.37/217,564.92 = 86,037.03/x
  3. Step 3: Cross multiply
    157,652.37x = 217,564.92 × 86,037.03
  4. Step 4: Simplify right side
    157,652.37x = 18,718,639,548.99
  5. Step 5: Solve for x
    x = 18,718,639,548.99/157,652.37
  6. Step 6: Final answer
    x = 118,733.64

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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.