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Finding the Fourth Proportional to 119,230.80, 164,425.72 and 78,322.70

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Solution

The fourth proportional to 119,230.80, 164,425.72 and 78,322.70 is: 108,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,230.80 : 164,425.72 = 78,322.70 : x
  2. Step 2: Convert to fraction form
    119,230.80/164,425.72 = 78,322.70/x
  3. Step 3: Cross multiply
    119,230.80x = 164,425.72 × 78,322.70
  4. Step 4: Simplify right side
    119,230.80x = 12,878,266,339.84
  5. Step 5: Solve for x
    x = 12,878,266,339.84/119,230.80
  6. Step 6: Final answer
    x = 108,011.24

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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.