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Finding the Fourth Proportional to 164,835, 247,265.46 and 71,341.56

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Solution

The fourth proportional to 164,835, 247,265.46 and 71,341.56 is: 107,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,835 : 247,265.46 = 71,341.56 : x
  2. Step 2: Convert to fraction form
    164,835/247,265.46 = 71,341.56/x
  3. Step 3: Cross multiply
    164,835x = 247,265.46 × 71,341.56
  4. Step 4: Simplify right side
    164,835x = 17,640,303,650.52
  5. Step 5: Solve for x
    x = 17,640,303,650.52/164,835
  6. Step 6: Final answer
    x = 107,017.95

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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.