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Finding the Fourth Proportional to 157,880.40, 217,878.09 and 86,264.87

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Solution

The fourth proportional to 157,880.40, 217,878.09 and 86,264.87 is: 119,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,880.40 : 217,878.09 = 86,264.87 : x
  2. Step 2: Convert to fraction form
    157,880.40/217,878.09 = 86,264.87/x
  3. Step 3: Cross multiply
    157,880.40x = 217,878.09 × 86,264.87
  4. Step 4: Simplify right side
    157,880.40x = 18,795,224,020.31
  5. Step 5: Solve for x
    x = 18,795,224,020.31/157,880.40
  6. Step 6: Final answer
    x = 119,047.23

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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.