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Finding the Fourth Proportional to 65,172.70, 97,877.85 and 57,007.90

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Solution

The fourth proportional to 65,172.70, 97,877.85 and 57,007.90 is: 85,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,172.70 : 97,877.85 = 57,007.90 : x
  2. Step 2: Convert to fraction form
    65,172.70/97,877.85 = 57,007.90/x
  3. Step 3: Cross multiply
    65,172.70x = 97,877.85 × 57,007.90
  4. Step 4: Simplify right side
    65,172.70x = 5,579,810,685.02
  5. Step 5: Solve for x
    x = 5,579,810,685.02/65,172.70
  6. Step 6: Final answer
    x = 85,615.77

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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.