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Finding the Fourth Proportional to 77,470.50, 106,927.53 and 47,280.78

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Solution

The fourth proportional to 77,470.50, 106,927.53 and 47,280.78 is: 65,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,470.50 : 106,927.53 = 47,280.78 : x
  2. Step 2: Convert to fraction form
    77,470.50/106,927.53 = 47,280.78/x
  3. Step 3: Cross multiply
    77,470.50x = 106,927.53 × 47,280.78
  4. Step 4: Simplify right side
    77,470.50x = 5,055,617,021.87
  5. Step 5: Solve for x
    x = 5,055,617,021.87/77,470.50
  6. Step 6: Final answer
    x = 65,258.61

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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.