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Finding the Fourth Proportional to 105,420.70, 145,484 and 60,097.84

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Solution

The fourth proportional to 105,420.70, 145,484 and 60,097.84 is: 82,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,420.70 : 145,484 = 60,097.84 : x
  2. Step 2: Convert to fraction form
    105,420.70/145,484 = 60,097.84/x
  3. Step 3: Cross multiply
    105,420.70x = 145,484 × 60,097.84
  4. Step 4: Simplify right side
    105,420.70x = 8,743,274,154.56
  5. Step 5: Solve for x
    x = 8,743,274,154.56/105,420.70
  6. Step 6: Final answer
    x = 82,936.98

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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.