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Finding the Fourth Proportional to 64,711, 97,066.38 and 36,989.56

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Solution

The fourth proportional to 64,711, 97,066.38 and 36,989.56 is: 55,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,711 : 97,066.38 = 36,989.56 : x
  2. Step 2: Convert to fraction form
    64,711/97,066.38 = 36,989.56/x
  3. Step 3: Cross multiply
    64,711x = 97,066.38 × 36,989.56
  4. Step 4: Simplify right side
    64,711x = 3,590,442,686.99
  5. Step 5: Solve for x
    x = 3,590,442,686.99/64,711
  6. Step 6: Final answer
    x = 55,484.27

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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.