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Finding the Fourth Proportional to 76,711.84, 105,855.60 and 42,717.76

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Solution

The fourth proportional to 76,711.84, 105,855.60 and 42,717.76 is: 58,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,711.84 : 105,855.60 = 42,717.76 : x
  2. Step 2: Convert to fraction form
    76,711.84/105,855.60 = 42,717.76/x
  3. Step 3: Cross multiply
    76,711.84x = 105,855.60 × 42,717.76
  4. Step 4: Simplify right side
    76,711.84x = 4,521,914,115.46
  5. Step 5: Solve for x
    x = 4,521,914,115.46/76,711.84
  6. Step 6: Final answer
    x = 58,946.76

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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.