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Finding the Fourth Proportional to 75,104, 112,656 and 19,700

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Solution

The fourth proportional to 75,104, 112,656 and 19,700 is: 29,550

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,104 : 112,656 = 19,700 : x
  2. Step 2: Convert to fraction form
    75,104/112,656 = 19,700/x
  3. Step 3: Cross multiply
    75,104x = 112,656 × 19,700
  4. Step 4: Simplify right side
    75,104x = 2,219,323,200
  5. Step 5: Solve for x
    x = 2,219,323,200/75,104
  6. Step 6: Final answer
    x = 29,550

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.