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Finding the Fourth Proportional to 105,045.78, 157,527.54 and 36,640.05

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Solution

The fourth proportional to 105,045.78, 157,527.54 and 36,640.05 is: 54,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,045.78 : 157,527.54 = 36,640.05 : x
  2. Step 2: Convert to fraction form
    105,045.78/157,527.54 = 36,640.05/x
  3. Step 3: Cross multiply
    105,045.78x = 157,527.54 × 36,640.05
  4. Step 4: Simplify right side
    105,045.78x = 5,771,816,941.98
  5. Step 5: Solve for x
    x = 5,771,816,941.98/105,045.78
  6. Step 6: Final answer
    x = 54,945.73

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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.