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Finding the Fourth Proportional to 100,896, 139,240.80 and 56,184

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Solution

The fourth proportional to 100,896, 139,240.80 and 56,184 is: 77,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,896 : 139,240.80 = 56,184 : x
  2. Step 2: Convert to fraction form
    100,896/139,240.80 = 56,184/x
  3. Step 3: Cross multiply
    100,896x = 139,240.80 × 56,184
  4. Step 4: Simplify right side
    100,896x = 7,823,105,107.20
  5. Step 5: Solve for x
    x = 7,823,105,107.20/100,896
  6. Step 6: Final answer
    x = 77,536.33

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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.