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Finding the Fourth Proportional to 86,980.80, 120,024 and 51,182.40

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Solution

The fourth proportional to 86,980.80, 120,024 and 51,182.40 is: 70,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,980.80 : 120,024 = 51,182.40 : x
  2. Step 2: Convert to fraction form
    86,980.80/120,024 = 51,182.40/x
  3. Step 3: Cross multiply
    86,980.80x = 120,024 × 51,182.40
  4. Step 4: Simplify right side
    86,980.80x = 6,143,116,377.60
  5. Step 5: Solve for x
    x = 6,143,116,377.60/86,980.80
  6. Step 6: Final answer
    x = 70,626.12

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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.