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Finding the Fourth Proportional to 157,880.81, 217,878.65 and 86,265.27

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Solution

The fourth proportional to 157,880.81, 217,878.65 and 86,265.27 is: 119,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,880.81 : 217,878.65 = 86,265.27 : x
  2. Step 2: Convert to fraction form
    157,880.81/217,878.65 = 86,265.27/x
  3. Step 3: Cross multiply
    157,880.81x = 217,878.65 × 86,265.27
  4. Step 4: Simplify right side
    157,880.81x = 18,795,360,569.49
  5. Step 5: Solve for x
    x = 18,795,360,569.49/157,880.81
  6. Step 6: Final answer
    x = 119,047.78

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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.