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Finding the Fourth Proportional to 106,481, 146,953.68 and 61,165.28

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Solution

The fourth proportional to 106,481, 146,953.68 and 61,165.28 is: 84,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,481 : 146,953.68 = 61,165.28 : x
  2. Step 2: Convert to fraction form
    106,481/146,953.68 = 61,165.28/x
  3. Step 3: Cross multiply
    106,481x = 146,953.68 × 61,165.28
  4. Step 4: Simplify right side
    106,481x = 8,988,462,984.23
  5. Step 5: Solve for x
    x = 8,988,462,984.23/106,481
  6. Step 6: Final answer
    x = 84,413.77

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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.