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Finding the Fourth Proportional to 51,393.70, 77,095.84 and 19,399.72

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Solution

The fourth proportional to 51,393.70, 77,095.84 and 19,399.72 is: 29,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,393.70 : 77,095.84 = 19,399.72 : x
  2. Step 2: Convert to fraction form
    51,393.70/77,095.84 = 19,399.72/x
  3. Step 3: Cross multiply
    51,393.70x = 77,095.84 × 19,399.72
  4. Step 4: Simplify right side
    51,393.70x = 1,495,637,974.65
  5. Step 5: Solve for x
    x = 1,495,637,974.65/51,393.70
  6. Step 6: Final answer
    x = 29,101.58

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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.