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Finding the Fourth Proportional to 122,809.84, 169,497.96 and 77,512.52

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Solution

The fourth proportional to 122,809.84, 169,497.96 and 77,512.52 is: 106,980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,809.84 : 169,497.96 = 77,512.52 : x
  2. Step 2: Convert to fraction form
    122,809.84/169,497.96 = 77,512.52/x
  3. Step 3: Cross multiply
    122,809.84x = 169,497.96 × 77,512.52
  4. Step 4: Simplify right side
    122,809.84x = 13,138,214,014.46
  5. Step 5: Solve for x
    x = 13,138,214,014.46/122,809.84
  6. Step 6: Final answer
    x = 106,980.14

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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.