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Finding the Fourth Proportional to 146,139.69, 218,576.26 and 86,024.93

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Solution

The fourth proportional to 146,139.69, 218,576.26 and 86,024.93 is: 128,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,139.69 : 218,576.26 = 86,024.93 : x
  2. Step 2: Convert to fraction form
    146,139.69/218,576.26 = 86,024.93/x
  3. Step 3: Cross multiply
    146,139.69x = 218,576.26 × 86,024.93
  4. Step 4: Simplify right side
    146,139.69x = 18,803,007,466.16
  5. Step 5: Solve for x
    x = 18,803,007,466.16/146,139.69
  6. Step 6: Final answer
    x = 128,664.62

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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.