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Finding the Fourth Proportional to 76,488.16, 114,653.40 and 55,375.90

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Solution

The fourth proportional to 76,488.16, 114,653.40 and 55,375.90 is: 83,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,488.16 : 114,653.40 = 55,375.90 : x
  2. Step 2: Convert to fraction form
    76,488.16/114,653.40 = 55,375.90/x
  3. Step 3: Cross multiply
    76,488.16x = 114,653.40 × 55,375.90
  4. Step 4: Simplify right side
    76,488.16x = 6,349,035,213.06
  5. Step 5: Solve for x
    x = 6,349,035,213.06/76,488.16
  6. Step 6: Final answer
    x = 83,006.77

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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.