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Finding the Fourth Proportional to 75,106, 112,659 and 19,702

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Solution

The fourth proportional to 75,106, 112,659 and 19,702 is: 29,553

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,106 : 112,659 = 19,702 : x
  2. Step 2: Convert to fraction form
    75,106/112,659 = 19,702/x
  3. Step 3: Cross multiply
    75,106x = 112,659 × 19,702
  4. Step 4: Simplify right side
    75,106x = 2,219,607,618
  5. Step 5: Solve for x
    x = 2,219,607,618/75,106
  6. Step 6: Final answer
    x = 29,553

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