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Finding the Fourth Proportional to 101,176, 139,622.96 and 56,464

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Solution

The fourth proportional to 101,176, 139,622.96 and 56,464 is: 77,920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176 : 139,622.96 = 56,464 : x
  2. Step 2: Convert to fraction form
    101,176/139,622.96 = 56,464/x
  3. Step 3: Cross multiply
    101,176x = 139,622.96 × 56,464
  4. Step 4: Simplify right side
    101,176x = 7,883,670,813.44
  5. Step 5: Solve for x
    x = 7,883,670,813.44/101,176
  6. Step 6: Final answer
    x = 77,920.36

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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.