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Finding the Fourth Proportional to 100,908, 139,257.36 and 56,196

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Solution

The fourth proportional to 100,908, 139,257.36 and 56,196 is: 77,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,908 : 139,257.36 = 56,196 : x
  2. Step 2: Convert to fraction form
    100,908/139,257.36 = 56,196/x
  3. Step 3: Cross multiply
    100,908x = 139,257.36 × 56,196
  4. Step 4: Simplify right side
    100,908x = 7,825,706,602.56
  5. Step 5: Solve for x
    x = 7,825,706,602.56/100,908
  6. Step 6: Final answer
    x = 77,552.89

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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.