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Finding the Fourth Proportional to 77,575.32, 107,064 and 47,354.32

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Solution

The fourth proportional to 77,575.32, 107,064 and 47,354.32 is: 65,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,575.32 : 107,064 = 47,354.32 : x
  2. Step 2: Convert to fraction form
    77,575.32/107,064 = 47,354.32/x
  3. Step 3: Cross multiply
    77,575.32x = 107,064 × 47,354.32
  4. Step 4: Simplify right side
    77,575.32x = 5,069,942,916.48
  5. Step 5: Solve for x
    x = 5,069,942,916.48/77,575.32
  6. Step 6: Final answer
    x = 65,355.10

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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.