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Finding the Fourth Proportional to 56,429.72, 77,868.72 and 30,932

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Solution

The fourth proportional to 56,429.72, 77,868.72 and 30,932 is: 42,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,429.72 : 77,868.72 = 30,932 : x
  2. Step 2: Convert to fraction form
    56,429.72/77,868.72 = 30,932/x
  3. Step 3: Cross multiply
    56,429.72x = 77,868.72 × 30,932
  4. Step 4: Simplify right side
    56,429.72x = 2,408,635,247.04
  5. Step 5: Solve for x
    x = 2,408,635,247.04/56,429.72
  6. Step 6: Final answer
    x = 42,683.81

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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.