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Finding the Fourth Proportional to 85,127, 117,475.44 and 47,408.72

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Solution

The fourth proportional to 85,127, 117,475.44 and 47,408.72 is: 65,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,127 : 117,475.44 = 47,408.72 : x
  2. Step 2: Convert to fraction form
    85,127/117,475.44 = 47,408.72/x
  3. Step 3: Cross multiply
    85,127x = 117,475.44 × 47,408.72
  4. Step 4: Simplify right side
    85,127x = 5,569,360,241.84
  5. Step 5: Solve for x
    x = 5,569,360,241.84/85,127
  6. Step 6: Final answer
    x = 65,424.13

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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.