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Finding the Fourth Proportional to 107,108.77, 147,776.33 and 61,780.68

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Solution

The fourth proportional to 107,108.77, 147,776.33 and 61,780.68 is: 85,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,108.77 : 147,776.33 = 61,780.68 : x
  2. Step 2: Convert to fraction form
    107,108.77/147,776.33 = 61,780.68/x
  3. Step 3: Cross multiply
    107,108.77x = 147,776.33 × 61,780.68
  4. Step 4: Simplify right side
    107,108.77x = 9,129,721,107.52
  5. Step 5: Solve for x
    x = 9,129,721,107.52/107,108.77
  6. Step 6: Final answer
    x = 85,237.85

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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.