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Finding the Fourth Proportional to 86,750, 119,715.16 and 47,006

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Solution

The fourth proportional to 86,750, 119,715.16 and 47,006 is: 64,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,750 : 119,715.16 = 47,006 : x
  2. Step 2: Convert to fraction form
    86,750/119,715.16 = 47,006/x
  3. Step 3: Cross multiply
    86,750x = 119,715.16 × 47,006
  4. Step 4: Simplify right side
    86,750x = 5,627,330,810.96
  5. Step 5: Solve for x
    x = 5,627,330,810.96/86,750
  6. Step 6: Final answer
    x = 64,868.37

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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.