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Finding the Fourth Proportional to 217,065.93, 299,697.27 and 135,518.47

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Solution

The fourth proportional to 217,065.93, 299,697.27 and 135,518.47 is: 187,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,065.93 : 299,697.27 = 135,518.47 : x
  2. Step 2: Convert to fraction form
    217,065.93/299,697.27 = 135,518.47/x
  3. Step 3: Cross multiply
    217,065.93x = 299,697.27 × 135,518.47
  4. Step 4: Simplify right side
    217,065.93x = 40,614,514,236.14
  5. Step 5: Solve for x
    x = 40,614,514,236.14/217,065.93
  6. Step 6: Final answer
    x = 187,106.82

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1.5x scale

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.