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Finding the Fourth Proportional to 134,978.01, 186,276.96 and 77,616.65

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Solution

The fourth proportional to 134,978.01, 186,276.96 and 77,616.65 is: 107,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,978.01 : 186,276.96 = 77,616.65 : x
  2. Step 2: Convert to fraction form
    134,978.01/186,276.96 = 77,616.65/x
  3. Step 3: Cross multiply
    134,978.01x = 186,276.96 × 77,616.65
  4. Step 4: Simplify right side
    134,978.01x = 14,458,192,676.00
  5. Step 5: Solve for x
    x = 14,458,192,676.00/134,978.01
  6. Step 6: Final answer
    x = 107,115.17

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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.