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Finding the Fourth Proportional to 76,384.60, 114,576.90 and 51,501.40

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Solution

The fourth proportional to 76,384.60, 114,576.90 and 51,501.40 is: 77,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,384.60 : 114,576.90 = 51,501.40 : x
  2. Step 2: Convert to fraction form
    76,384.60/114,576.90 = 51,501.40/x
  3. Step 3: Cross multiply
    76,384.60x = 114,576.90 × 51,501.40
  4. Step 4: Simplify right side
    76,384.60x = 5,900,870,757.66
  5. Step 5: Solve for x
    x = 5,900,870,757.66/76,384.60
  6. Step 6: Final answer
    x = 77,252.10

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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.