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Finding the Fourth Proportional to 164,355.66, 226,605.15 and 137,170.98

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Solution

The fourth proportional to 164,355.66, 226,605.15 and 137,170.98 is: 189,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,355.66 : 226,605.15 = 137,170.98 : x
  2. Step 2: Convert to fraction form
    164,355.66/226,605.15 = 137,170.98/x
  3. Step 3: Cross multiply
    164,355.66x = 226,605.15 × 137,170.98
  4. Step 4: Simplify right side
    164,355.66x = 31,083,650,498.55
  5. Step 5: Solve for x
    x = 31,083,650,498.55/164,355.66
  6. Step 6: Final answer
    x = 189,124.31

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1.5x scale

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.