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Finding the Fourth Proportional to 75,712.64, 113,669.44 and 64,690.16

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Solution

The fourth proportional to 75,712.64, 113,669.44 and 64,690.16 is: 97,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712.64 : 113,669.44 = 64,690.16 : x
  2. Step 2: Convert to fraction form
    75,712.64/113,669.44 = 64,690.16/x
  3. Step 3: Cross multiply
    75,712.64x = 113,669.44 × 64,690.16
  4. Step 4: Simplify right side
    75,712.64x = 7,353,294,260.71
  5. Step 5: Solve for x
    x = 7,353,294,260.71/75,712.64
  6. Step 6: Final answer
    x = 97,121.09

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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.