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Finding the Fourth Proportional to 119,801.80, 165,379.62 and 77,381.02

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Solution

The fourth proportional to 119,801.80, 165,379.62 and 77,381.02 is: 106,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,801.80 : 165,379.62 = 77,381.02 : x
  2. Step 2: Convert to fraction form
    119,801.80/165,379.62 = 77,381.02/x
  3. Step 3: Cross multiply
    119,801.80x = 165,379.62 × 77,381.02
  4. Step 4: Simplify right side
    119,801.80x = 12,797,243,682.81
  5. Step 5: Solve for x
    x = 12,797,243,682.81/119,801.80
  6. Step 6: Final answer
    x = 106,820.13

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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.