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Finding the Fourth Proportional to 114,447.40, 171,671.10 and 77,122.60

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Solution

The fourth proportional to 114,447.40, 171,671.10 and 77,122.60 is: 115,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,447.40 : 171,671.10 = 77,122.60 : x
  2. Step 2: Convert to fraction form
    114,447.40/171,671.10 = 77,122.60/x
  3. Step 3: Cross multiply
    114,447.40x = 171,671.10 × 77,122.60
  4. Step 4: Simplify right side
    114,447.40x = 13,239,721,576.86
  5. Step 5: Solve for x
    x = 13,239,721,576.86/114,447.40
  6. Step 6: Final answer
    x = 115,683.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.