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Finding the Fourth Proportional to 123,111.54, 169,894.67 and 77,809.59

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Solution

The fourth proportional to 123,111.54, 169,894.67 and 77,809.59 is: 107,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,111.54 : 169,894.67 = 77,809.59 : x
  2. Step 2: Convert to fraction form
    123,111.54/169,894.67 = 77,809.59/x
  3. Step 3: Cross multiply
    123,111.54x = 169,894.67 × 77,809.59
  4. Step 4: Simplify right side
    123,111.54x = 13,219,434,226.84
  5. Step 5: Solve for x
    x = 13,219,434,226.84/123,111.54
  6. Step 6: Final answer
    x = 107,377.70

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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.