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Finding the Fourth Proportional to 157,406.49, 217,223.37 and 85,786.29

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Solution

The fourth proportional to 157,406.49, 217,223.37 and 85,786.29 is: 118,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,406.49 : 217,223.37 = 85,786.29 : x
  2. Step 2: Convert to fraction form
    157,406.49/217,223.37 = 85,786.29/x
  3. Step 3: Cross multiply
    157,406.49x = 217,223.37 × 85,786.29
  4. Step 4: Simplify right side
    157,406.49x = 18,634,787,013.60
  5. Step 5: Solve for x
    x = 18,634,787,013.60/157,406.49
  6. Step 6: Final answer
    x = 118,386.40

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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.