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Finding the Fourth Proportional to 103,657.90, 155,371.65 and 56,944.30

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Solution

The fourth proportional to 103,657.90, 155,371.65 and 56,944.30 is: 85,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,657.90 : 155,371.65 = 56,944.30 : x
  2. Step 2: Convert to fraction form
    103,657.90/155,371.65 = 56,944.30/x
  3. Step 3: Cross multiply
    103,657.90x = 155,371.65 × 56,944.30
  4. Step 4: Simplify right side
    103,657.90x = 8,847,529,849.10
  5. Step 5: Solve for x
    x = 8,847,529,849.10/103,657.90
  6. Step 6: Final answer
    x = 85,353.17

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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.