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Finding the Fourth Proportional to 65,298.96, 90,102.58 and 36,620.10

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Solution

The fourth proportional to 65,298.96, 90,102.58 and 36,620.10 is: 50,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,298.96 : 90,102.58 = 36,620.10 : x
  2. Step 2: Convert to fraction form
    65,298.96/90,102.58 = 36,620.10/x
  3. Step 3: Cross multiply
    65,298.96x = 90,102.58 × 36,620.10
  4. Step 4: Simplify right side
    65,298.96x = 3,299,565,398.31
  5. Step 5: Solve for x
    x = 3,299,565,398.31/65,298.96
  6. Step 6: Final answer
    x = 50,530.14

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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.