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Finding the Fourth Proportional to 119,415.10, 164,788.68 and 65,699.56

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Solution

The fourth proportional to 119,415.10, 164,788.68 and 65,699.56 is: 90,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,415.10 : 164,788.68 = 65,699.56 : x
  2. Step 2: Convert to fraction form
    119,415.10/164,788.68 = 65,699.56/x
  3. Step 3: Cross multiply
    119,415.10x = 164,788.68 × 65,699.56
  4. Step 4: Simplify right side
    119,415.10x = 10,826,543,768.98
  5. Step 5: Solve for x
    x = 10,826,543,768.98/119,415.10
  6. Step 6: Final answer
    x = 90,663.11

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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.