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Finding the Fourth Proportional to 210,030, 315,190.92 and 85,371.12

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Solution

The fourth proportional to 210,030, 315,190.92 and 85,371.12 is: 128,115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,030 : 315,190.92 = 85,371.12 : x
  2. Step 2: Convert to fraction form
    210,030/315,190.92 = 85,371.12/x
  3. Step 3: Cross multiply
    210,030x = 315,190.92 × 85,371.12
  4. Step 4: Simplify right side
    210,030x = 26,908,201,854.23
  5. Step 5: Solve for x
    x = 26,908,201,854.23/210,030
  6. Step 6: Final answer
    x = 128,115.99

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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.