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Finding the Fourth Proportional to 157,903.90, 217,904.74 and 86,282.27

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Solution

The fourth proportional to 157,903.90, 217,904.74 and 86,282.27 is: 119,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,903.90 : 217,904.74 = 86,282.27 : x
  2. Step 2: Convert to fraction form
    157,903.90/217,904.74 = 86,282.27/x
  3. Step 3: Cross multiply
    157,903.90x = 217,904.74 × 86,282.27
  4. Step 4: Simplify right side
    157,903.90x = 18,801,315,610.96
  5. Step 5: Solve for x
    x = 18,801,315,610.96/157,903.90
  6. Step 6: Final answer
    x = 119,068.09

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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.