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Finding the Fourth Proportional to 105,223.60, 157,858.72 and 30,337.90

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Solution

The fourth proportional to 105,223.60, 157,858.72 and 30,337.90 is: 45,513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,223.60 : 157,858.72 = 30,337.90 : x
  2. Step 2: Convert to fraction form
    105,223.60/157,858.72 = 30,337.90/x
  3. Step 3: Cross multiply
    105,223.60x = 157,858.72 × 30,337.90
  4. Step 4: Simplify right side
    105,223.60x = 4,789,102,061.49
  5. Step 5: Solve for x
    x = 4,789,102,061.49/105,223.60
  6. Step 6: Final answer
    x = 45,513.57

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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.