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Finding the Fourth Proportional to 76,295.40, 114,430.02 and 20,136.08

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Solution

The fourth proportional to 76,295.40, 114,430.02 and 20,136.08 is: 30,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,295.40 : 114,430.02 = 20,136.08 : x
  2. Step 2: Convert to fraction form
    76,295.40/114,430.02 = 20,136.08/x
  3. Step 3: Cross multiply
    76,295.40x = 114,430.02 × 20,136.08
  4. Step 4: Simplify right side
    76,295.40x = 2,304,172,037.12
  5. Step 5: Solve for x
    x = 2,304,172,037.12/76,295.40
  6. Step 6: Final answer
    x = 30,200.67

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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.