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Finding the Fourth Proportional to 78,455.62, 117,617.10 and 34,048.98

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Solution

The fourth proportional to 78,455.62, 117,617.10 and 34,048.98 is: 51,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,455.62 : 117,617.10 = 34,048.98 : x
  2. Step 2: Convert to fraction form
    78,455.62/117,617.10 = 34,048.98/x
  3. Step 3: Cross multiply
    78,455.62x = 117,617.10 × 34,048.98
  4. Step 4: Simplify right side
    78,455.62x = 4,004,742,285.56
  5. Step 5: Solve for x
    x = 4,004,742,285.56/78,455.62
  6. Step 6: Final answer
    x = 51,044.68

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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.