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Finding the Fourth Proportional to 51,991.70, 78,000.15 and 15,055.70

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Solution

The fourth proportional to 51,991.70, 78,000.15 and 15,055.70 is: 22,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,991.70 : 78,000.15 = 15,055.70 : x
  2. Step 2: Convert to fraction form
    51,991.70/78,000.15 = 15,055.70/x
  3. Step 3: Cross multiply
    51,991.70x = 78,000.15 × 15,055.70
  4. Step 4: Simplify right side
    51,991.70x = 1,174,346,858.36
  5. Step 5: Solve for x
    x = 1,174,346,858.36/51,991.70
  6. Step 6: Final answer
    x = 22,587.20

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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.