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Finding the Fourth Proportional to 105,784.26, 158,670.50 and 77,350.34

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Solution

The fourth proportional to 105,784.26, 158,670.50 and 77,350.34 is: 116,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,784.26 : 158,670.50 = 77,350.34 : x
  2. Step 2: Convert to fraction form
    105,784.26/158,670.50 = 77,350.34/x
  3. Step 3: Cross multiply
    105,784.26x = 158,670.50 × 77,350.34
  4. Step 4: Simplify right side
    105,784.26x = 12,273,217,122.97
  5. Step 5: Solve for x
    x = 12,273,217,122.97/105,784.26
  6. Step 6: Final answer
    x = 116,021.20

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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.