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Finding the Fourth Proportional to 77,364.72, 106,783.92 and 45,543.60

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Solution

The fourth proportional to 77,364.72, 106,783.92 and 45,543.60 is: 62,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,364.72 : 106,783.92 = 45,543.60 : x
  2. Step 2: Convert to fraction form
    77,364.72/106,783.92 = 45,543.60/x
  3. Step 3: Cross multiply
    77,364.72x = 106,783.92 × 45,543.60
  4. Step 4: Simplify right side
    77,364.72x = 4,863,324,138.91
  5. Step 5: Solve for x
    x = 4,863,324,138.91/77,364.72
  6. Step 6: Final answer
    x = 62,862.30

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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.