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Finding the Fourth Proportional to 106,473.55, 146,859.87 and 86,331.28

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Solution

The fourth proportional to 106,473.55, 146,859.87 and 86,331.28 is: 119,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,473.55 : 146,859.87 = 86,331.28 : x
  2. Step 2: Convert to fraction form
    106,473.55/146,859.87 = 86,331.28/x
  3. Step 3: Cross multiply
    106,473.55x = 146,859.87 × 86,331.28
  4. Step 4: Simplify right side
    106,473.55x = 12,678,600,557.73
  5. Step 5: Solve for x
    x = 12,678,600,557.73/106,473.55
  6. Step 6: Final answer
    x = 119,077.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.