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Finding the Fourth Proportional to 76,466.20, 114,699.30 and 20,306.20

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Solution

The fourth proportional to 76,466.20, 114,699.30 and 20,306.20 is: 30,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466.20 : 114,699.30 = 20,306.20 : x
  2. Step 2: Convert to fraction form
    76,466.20/114,699.30 = 20,306.20/x
  3. Step 3: Cross multiply
    76,466.20x = 114,699.30 × 20,306.20
  4. Step 4: Simplify right side
    76,466.20x = 2,329,106,925.66
  5. Step 5: Solve for x
    x = 2,329,106,925.66/76,466.20
  6. Step 6: Final answer
    x = 30,459.30

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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.