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Finding the Fourth Proportional to 210,098.22, 314,884.86 and 135,018.54

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Solution

The fourth proportional to 210,098.22, 314,884.86 and 135,018.54 is: 202,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,098.22 : 314,884.86 = 135,018.54 : x
  2. Step 2: Convert to fraction form
    210,098.22/314,884.86 = 135,018.54/x
  3. Step 3: Cross multiply
    210,098.22x = 314,884.86 × 135,018.54
  4. Step 4: Simplify right side
    210,098.22x = 42,515,294,065.30
  5. Step 5: Solve for x
    x = 42,515,294,065.30/210,098.22
  6. Step 6: Final answer
    x = 202,359.14

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1.5x scale

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.