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Finding the Fourth Proportional to 157,825.80, 217,804.32 and 86,209.20

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Solution

The fourth proportional to 157,825.80, 217,804.32 and 86,209.20 is: 118,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,825.80 : 217,804.32 = 86,209.20 : x
  2. Step 2: Convert to fraction form
    157,825.80/217,804.32 = 86,209.20/x
  3. Step 3: Cross multiply
    157,825.80x = 217,804.32 × 86,209.20
  4. Step 4: Simplify right side
    157,825.80x = 18,776,736,183.74
  5. Step 5: Solve for x
    x = 18,776,736,183.74/157,825.80
  6. Step 6: Final answer
    x = 118,971.27

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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.