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Finding the Fourth Proportional to 122,971.34, 169,636.26 and 77,633

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Solution

The fourth proportional to 122,971.34, 169,636.26 and 77,633 is: 107,093.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,971.34 : 169,636.26 = 77,633 : x
  2. Step 2: Convert to fraction form
    122,971.34/169,636.26 = 77,633/x
  3. Step 3: Cross multiply
    122,971.34x = 169,636.26 × 77,633
  4. Step 4: Simplify right side
    122,971.34x = 13,169,371,772.58
  5. Step 5: Solve for x
    x = 13,169,371,772.58/122,971.34
  6. Step 6: Final answer
    x = 107,093.02

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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.