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Finding the Fourth Proportional to 76,013.16, 114,019.74 and 20,609.16

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Solution

The fourth proportional to 76,013.16, 114,019.74 and 20,609.16 is: 30,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,013.16 : 114,019.74 = 20,609.16 : x
  2. Step 2: Convert to fraction form
    76,013.16/114,019.74 = 20,609.16/x
  3. Step 3: Cross multiply
    76,013.16x = 114,019.74 × 20,609.16
  4. Step 4: Simplify right side
    76,013.16x = 2,349,851,064.82
  5. Step 5: Solve for x
    x = 2,349,851,064.82/76,013.16
  6. Step 6: Final answer
    x = 30,913.74

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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.