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Finding the Fourth Proportional to 157,822.67, 217,801.62 and 86,205.71

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Solution

The fourth proportional to 157,822.67, 217,801.62 and 86,205.71 is: 118,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,822.67 : 217,801.62 = 86,205.71 : x
  2. Step 2: Convert to fraction form
    157,822.67/217,801.62 = 86,205.71/x
  3. Step 3: Cross multiply
    157,822.67x = 217,801.62 × 86,205.71
  4. Step 4: Simplify right side
    157,822.67x = 18,775,742,202.24
  5. Step 5: Solve for x
    x = 18,775,742,202.24/157,822.67
  6. Step 6: Final answer
    x = 118,967.34

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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.