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Finding the Fourth Proportional to 210,474.60, 315,515.06 and 77,319.10

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Solution

The fourth proportional to 210,474.60, 315,515.06 and 77,319.10 is: 115,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,474.60 : 315,515.06 = 77,319.10 : x
  2. Step 2: Convert to fraction form
    210,474.60/315,515.06 = 77,319.10/x
  3. Step 3: Cross multiply
    210,474.60x = 315,515.06 × 77,319.10
  4. Step 4: Simplify right side
    210,474.60x = 24,395,340,475.65
  5. Step 5: Solve for x
    x = 24,395,340,475.65/210,474.60
  6. Step 6: Final answer
    x = 115,906.34

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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.