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Finding the Fourth Proportional to 139,297.64, 208,981.78 and 64,471.66

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Solution

The fourth proportional to 139,297.64, 208,981.78 and 64,471.66 is: 96,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,297.64 : 208,981.78 = 64,471.66 : x
  2. Step 2: Convert to fraction form
    139,297.64/208,981.78 = 64,471.66/x
  3. Step 3: Cross multiply
    139,297.64x = 208,981.78 × 64,471.66
  4. Step 4: Simplify right side
    139,297.64x = 13,473,402,266.35
  5. Step 5: Solve for x
    x = 13,473,402,266.35/139,297.64
  6. Step 6: Final answer
    x = 96,723.84

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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.