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Finding the Fourth Proportional to 200,973.97, 301,462.56 and 72,980.74

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Solution

The fourth proportional to 200,973.97, 301,462.56 and 72,980.74 is: 109,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,973.97 : 301,462.56 = 72,980.74 : x
  2. Step 2: Convert to fraction form
    200,973.97/301,462.56 = 72,980.74/x
  3. Step 3: Cross multiply
    200,973.97x = 301,462.56 × 72,980.74
  4. Step 4: Simplify right side
    200,973.97x = 22,000,960,711.09
  5. Step 5: Solve for x
    x = 22,000,960,711.09/200,973.97
  6. Step 6: Final answer
    x = 109,471.69

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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.