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Finding the Fourth Proportional to 157,881.81, 217,880.04 and 86,266.26

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Solution

The fourth proportional to 157,881.81, 217,880.04 and 86,266.26 is: 119,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,881.81 : 217,880.04 = 86,266.26 : x
  2. Step 2: Convert to fraction form
    157,881.81/217,880.04 = 86,266.26/x
  3. Step 3: Cross multiply
    157,881.81x = 217,880.04 × 86,266.26
  4. Step 4: Simplify right side
    157,881.81x = 18,795,696,179.45
  5. Step 5: Solve for x
    x = 18,795,696,179.45/157,881.81
  6. Step 6: Final answer
    x = 119,049.16

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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.