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Finding the Fourth Proportional to 117,855.61, 176,782.47 and 78,052.75

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Solution

The fourth proportional to 117,855.61, 176,782.47 and 78,052.75 is: 117,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,855.61 : 176,782.47 = 78,052.75 : x
  2. Step 2: Convert to fraction form
    117,855.61/176,782.47 = 78,052.75/x
  3. Step 3: Cross multiply
    117,855.61x = 176,782.47 × 78,052.75
  4. Step 4: Simplify right side
    117,855.61x = 13,798,357,935.29
  5. Step 5: Solve for x
    x = 13,798,357,935.29/117,855.61
  6. Step 6: Final answer
    x = 117,078.50

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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.