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Finding the Fourth Proportional to 81,777.84, 122,070 and 70,165.68

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Solution

The fourth proportional to 81,777.84, 122,070 and 70,165.68 is: 104,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,777.84 : 122,070 = 70,165.68 : x
  2. Step 2: Convert to fraction form
    81,777.84/122,070 = 70,165.68/x
  3. Step 3: Cross multiply
    81,777.84x = 122,070 × 70,165.68
  4. Step 4: Simplify right side
    81,777.84x = 8,565,124,557.60
  5. Step 5: Solve for x
    x = 8,565,124,557.60/81,777.84
  6. Step 6: Final answer
    x = 104,736.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.