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Finding the Fourth Proportional to 30,205.71, 45,308.57 and 9,145.51

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Solution

The fourth proportional to 30,205.71, 45,308.57 and 9,145.51 is: 13,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.71 : 45,308.57 = 9,145.51 : x
  2. Step 2: Convert to fraction form
    30,205.71/45,308.57 = 9,145.51/x
  3. Step 3: Cross multiply
    30,205.71x = 45,308.57 × 9,145.51
  4. Step 4: Simplify right side
    30,205.71x = 414,369,821.02
  5. Step 5: Solve for x
    x = 414,369,821.02/30,205.71
  6. Step 6: Final answer
    x = 13,718.26

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Similar ratio
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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.