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Finding the Fourth Proportional to 119,935.88, 180,052.86 and 77,677.64

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Solution

The fourth proportional to 119,935.88, 180,052.86 and 77,677.64 is: 116,612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,935.88 : 180,052.86 = 77,677.64 : x
  2. Step 2: Convert to fraction form
    119,935.88/180,052.86 = 77,677.64/x
  3. Step 3: Cross multiply
    119,935.88x = 180,052.86 × 77,677.64
  4. Step 4: Simplify right side
    119,935.88x = 13,986,081,240.05
  5. Step 5: Solve for x
    x = 13,986,081,240.05/119,935.88
  6. Step 6: Final answer
    x = 116,612.99

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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.