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Finding the Fourth Proportional to 77,967.20, 117,008.40 and 51,663.20

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Solution

The fourth proportional to 77,967.20, 117,008.40 and 51,663.20 is: 77,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,967.20 : 117,008.40 = 51,663.20 : x
  2. Step 2: Convert to fraction form
    77,967.20/117,008.40 = 51,663.20/x
  3. Step 3: Cross multiply
    77,967.20x = 117,008.40 × 51,663.20
  4. Step 4: Simplify right side
    77,967.20x = 6,045,028,370.88
  5. Step 5: Solve for x
    x = 6,045,028,370.88/77,967.20
  6. Step 6: Final answer
    x = 77,532.97

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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.