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Finding the Fourth Proportional to 77,047.70, 106,337.49 and 45,230.90

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Solution

The fourth proportional to 77,047.70, 106,337.49 and 45,230.90 is: 62,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,047.70 : 106,337.49 = 45,230.90 : x
  2. Step 2: Convert to fraction form
    77,047.70/106,337.49 = 45,230.90/x
  3. Step 3: Cross multiply
    77,047.70x = 106,337.49 × 45,230.90
  4. Step 4: Simplify right side
    77,047.70x = 4,809,740,376.44
  5. Step 5: Solve for x
    x = 4,809,740,376.44/77,047.70
  6. Step 6: Final answer
    x = 62,425.49

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1.5x scale

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.