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Finding the Fourth Proportional to 119,860.40, 165,411.33 and 65,415.54

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Solution

The fourth proportional to 119,860.40, 165,411.33 and 65,415.54 is: 90,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,860.40 : 165,411.33 = 65,415.54 : x
  2. Step 2: Convert to fraction form
    119,860.40/165,411.33 = 65,415.54/x
  3. Step 3: Cross multiply
    119,860.40x = 165,411.33 × 65,415.54
  4. Step 4: Simplify right side
    119,860.40x = 10,820,471,849.05
  5. Step 5: Solve for x
    x = 10,820,471,849.05/119,860.40
  6. Step 6: Final answer
    x = 90,275.62

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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.