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Finding the Fourth Proportional to 122,495.49, 169,062.12 and 74,776.50

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Solution

The fourth proportional to 122,495.49, 169,062.12 and 74,776.50 is: 103,202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,495.49 : 169,062.12 = 74,776.50 : x
  2. Step 2: Convert to fraction form
    122,495.49/169,062.12 = 74,776.50/x
  3. Step 3: Cross multiply
    122,495.49x = 169,062.12 × 74,776.50
  4. Step 4: Simplify right side
    122,495.49x = 12,641,873,616.18
  5. Step 5: Solve for x
    x = 12,641,873,616.18/122,495.49
  6. Step 6: Final answer
    x = 103,202.77

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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.