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Finding the Fourth Proportional to 217,002.61, 299,415.16 and 130,975.55

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Solution

The fourth proportional to 217,002.61, 299,415.16 and 130,975.55 is: 180,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,002.61 : 299,415.16 = 130,975.55 : x
  2. Step 2: Convert to fraction form
    217,002.61/299,415.16 = 130,975.55/x
  3. Step 3: Cross multiply
    217,002.61x = 299,415.16 × 130,975.55
  4. Step 4: Simplify right side
    217,002.61x = 39,216,063,434.82
  5. Step 5: Solve for x
    x = 39,216,063,434.82/217,002.61
  6. Step 6: Final answer
    x = 180,717.01

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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.