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Finding the Fourth Proportional to 210,615.30, 315,924.30 and 84,266.10

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Solution

The fourth proportional to 210,615.30, 315,924.30 and 84,266.10 is: 126,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,615.30 : 315,924.30 = 84,266.10 : x
  2. Step 2: Convert to fraction form
    210,615.30/315,924.30 = 84,266.10/x
  3. Step 3: Cross multiply
    210,615.30x = 315,924.30 × 84,266.10
  4. Step 4: Simplify right side
    210,615.30x = 26,621,708,656.23
  5. Step 5: Solve for x
    x = 26,621,708,656.23/210,615.30
  6. Step 6: Final answer
    x = 126,399.69

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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.