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Finding the Fourth Proportional to 100,947, 151,420.50 and 55,995.72

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Solution

The fourth proportional to 100,947, 151,420.50 and 55,995.72 is: 83,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,947 : 151,420.50 = 55,995.72 : x
  2. Step 2: Convert to fraction form
    100,947/151,420.50 = 55,995.72/x
  3. Step 3: Cross multiply
    100,947x = 151,420.50 × 55,995.72
  4. Step 4: Simplify right side
    100,947x = 8,478,899,920.26
  5. Step 5: Solve for x
    x = 8,478,899,920.26/100,947
  6. Step 6: Final answer
    x = 83,993.58

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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.