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Finding the Fourth Proportional to 85,709.52, 118,289.70 and 51,737.50

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Solution

The fourth proportional to 85,709.52, 118,289.70 and 51,737.50 is: 71,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,709.52 : 118,289.70 = 51,737.50 : x
  2. Step 2: Convert to fraction form
    85,709.52/118,289.70 = 51,737.50/x
  3. Step 3: Cross multiply
    85,709.52x = 118,289.70 × 51,737.50
  4. Step 4: Simplify right side
    85,709.52x = 6,120,013,353.75
  5. Step 5: Solve for x
    x = 6,120,013,353.75/85,709.52
  6. Step 6: Final answer
    x = 71,404.13

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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.