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Finding the Fourth Proportional to 77,297.81, 106,646.76 and 43,301.70

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Solution

The fourth proportional to 77,297.81, 106,646.76 and 43,301.70 is: 59,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,297.81 : 106,646.76 = 43,301.70 : x
  2. Step 2: Convert to fraction form
    77,297.81/106,646.76 = 43,301.70/x
  3. Step 3: Cross multiply
    77,297.81x = 106,646.76 × 43,301.70
  4. Step 4: Simplify right side
    77,297.81x = 4,617,986,007.49
  5. Step 5: Solve for x
    x = 4,617,986,007.49/77,297.81
  6. Step 6: Final answer
    x = 59,742.78

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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.