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Finding the Fourth Proportional to 119,903.42, 179,761.98 and 77,694.32

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Solution

The fourth proportional to 119,903.42, 179,761.98 and 77,694.32 is: 116,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,903.42 : 179,761.98 = 77,694.32 : x
  2. Step 2: Convert to fraction form
    119,903.42/179,761.98 = 77,694.32/x
  3. Step 3: Cross multiply
    119,903.42x = 179,761.98 × 77,694.32
  4. Step 4: Simplify right side
    119,903.42x = 13,966,484,797.95
  5. Step 5: Solve for x
    x = 13,966,484,797.95/119,903.42
  6. Step 6: Final answer
    x = 116,481.12

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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.