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Finding the Fourth Proportional to 77,572.72, 107,047.48 and 47,408.56

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Solution

The fourth proportional to 77,572.72, 107,047.48 and 47,408.56 is: 65,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,572.72 : 107,047.48 = 47,408.56 : x
  2. Step 2: Convert to fraction form
    77,572.72/107,047.48 = 47,408.56/x
  3. Step 3: Cross multiply
    77,572.72x = 107,047.48 × 47,408.56
  4. Step 4: Simplify right side
    77,572.72x = 5,074,966,878.43
  5. Step 5: Solve for x
    x = 5,074,966,878.43/77,572.72
  6. Step 6: Final answer
    x = 65,422.06

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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.