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Finding the Fourth Proportional to 76,564.81, 114,838.10 and 20,409.13

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Solution

The fourth proportional to 76,564.81, 114,838.10 and 20,409.13 is: 30,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,564.81 : 114,838.10 = 20,409.13 : x
  2. Step 2: Convert to fraction form
    76,564.81/114,838.10 = 20,409.13/x
  3. Step 3: Cross multiply
    76,564.81x = 114,838.10 × 20,409.13
  4. Step 4: Simplify right side
    76,564.81x = 2,343,745,322.71
  5. Step 5: Solve for x
    x = 2,343,745,322.71/76,564.81
  6. Step 6: Final answer
    x = 30,611.26

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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.