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Finding the Fourth Proportional to 51,987.30, 71,978.67 and 49,362.90

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Solution

The fourth proportional to 51,987.30, 71,978.67 and 49,362.90 is: 68,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,987.30 : 71,978.67 = 49,362.90 : x
  2. Step 2: Convert to fraction form
    51,987.30/71,978.67 = 49,362.90/x
  3. Step 3: Cross multiply
    51,987.30x = 71,978.67 × 49,362.90
  4. Step 4: Simplify right side
    51,987.30x = 3,553,075,889.34
  5. Step 5: Solve for x
    x = 3,553,075,889.34/51,987.30
  6. Step 6: Final answer
    x = 68,345.07

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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.