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Finding the Fourth Proportional to 78,158.70, 117,225.90 and 21,993.30

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Solution

The fourth proportional to 78,158.70, 117,225.90 and 21,993.30 is: 32,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,158.70 : 117,225.90 = 21,993.30 : x
  2. Step 2: Convert to fraction form
    78,158.70/117,225.90 = 21,993.30/x
  3. Step 3: Cross multiply
    78,158.70x = 117,225.90 × 21,993.30
  4. Step 4: Simplify right side
    78,158.70x = 2,578,184,386.47
  5. Step 5: Solve for x
    x = 2,578,184,386.47/78,158.70
  6. Step 6: Final answer
    x = 32,986.53

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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.