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Finding the Fourth Proportional to 157,303.41, 217,076.92 and 85,683.41

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Solution

The fourth proportional to 157,303.41, 217,076.92 and 85,683.41 is: 118,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,303.41 : 217,076.92 = 85,683.41 : x
  2. Step 2: Convert to fraction form
    157,303.41/217,076.92 = 85,683.41/x
  3. Step 3: Cross multiply
    157,303.41x = 217,076.92 × 85,683.41
  4. Step 4: Simplify right side
    157,303.41x = 18,599,890,737.90
  5. Step 5: Solve for x
    x = 18,599,890,737.90/157,303.41
  6. Step 6: Final answer
    x = 118,242.13

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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.