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Finding the Fourth Proportional to 100,880, 139,214.40 and 56,178.56

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Solution

The fourth proportional to 100,880, 139,214.40 and 56,178.56 is: 77,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,880 : 139,214.40 = 56,178.56 : x
  2. Step 2: Convert to fraction form
    100,880/139,214.40 = 56,178.56/x
  3. Step 3: Cross multiply
    100,880x = 139,214.40 × 56,178.56
  4. Step 4: Simplify right side
    100,880x = 7,820,864,523.26
  5. Step 5: Solve for x
    x = 7,820,864,523.26/100,880
  6. Step 6: Final answer
    x = 77,526.41

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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.