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Finding the Fourth Proportional to 131,182.56, 181,055.16 and 77,464.08

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Solution

The fourth proportional to 131,182.56, 181,055.16 and 77,464.08 is: 106,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,182.56 : 181,055.16 = 77,464.08 : x
  2. Step 2: Convert to fraction form
    131,182.56/181,055.16 = 77,464.08/x
  3. Step 3: Cross multiply
    131,182.56x = 181,055.16 × 77,464.08
  4. Step 4: Simplify right side
    131,182.56x = 14,025,271,398.65
  5. Step 5: Solve for x
    x = 14,025,271,398.65/131,182.56
  6. Step 6: Final answer
    x = 106,914.15

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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.