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Finding the Fourth Proportional to 119,903.94, 179,658.27 and 77,781.78

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Solution

The fourth proportional to 119,903.94, 179,658.27 and 77,781.78 is: 116,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,903.94 : 179,658.27 = 77,781.78 : x
  2. Step 2: Convert to fraction form
    119,903.94/179,658.27 = 77,781.78/x
  3. Step 3: Cross multiply
    119,903.94x = 179,658.27 × 77,781.78
  4. Step 4: Simplify right side
    119,903.94x = 13,974,140,032.32
  5. Step 5: Solve for x
    x = 13,974,140,032.32/119,903.94
  6. Step 6: Final answer
    x = 116,544.46

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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.