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Finding the Fourth Proportional to 157,903.40, 217,904.06 and 86,281.77

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Solution

The fourth proportional to 157,903.40, 217,904.06 and 86,281.77 is: 119,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,903.40 : 217,904.06 = 86,281.77 : x
  2. Step 2: Convert to fraction form
    157,903.40/217,904.06 = 86,281.77/x
  3. Step 3: Cross multiply
    157,903.40x = 217,904.06 × 86,281.77
  4. Step 4: Simplify right side
    157,903.40x = 18,801,147,555.58
  5. Step 5: Solve for x
    x = 18,801,147,555.58/157,903.40
  6. Step 6: Final answer
    x = 119,067.41

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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.