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Finding the Fourth Proportional to 70,384.84, 105,592.84 and 38,778.63

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Solution

The fourth proportional to 70,384.84, 105,592.84 and 38,778.63 is: 58,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,384.84 : 105,592.84 = 38,778.63 : x
  2. Step 2: Convert to fraction form
    70,384.84/105,592.84 = 38,778.63/x
  3. Step 3: Cross multiply
    70,384.84x = 105,592.84 × 38,778.63
  4. Step 4: Simplify right side
    70,384.84x = 4,094,745,274.05
  5. Step 5: Solve for x
    x = 4,094,745,274.05/70,384.84
  6. Step 6: Final answer
    x = 58,176.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.