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Finding the Fourth Proportional to 77,783.91, 107,340.57 and 43,792.32

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Solution

The fourth proportional to 77,783.91, 107,340.57 and 43,792.32 is: 60,432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,783.91 : 107,340.57 = 43,792.32 : x
  2. Step 2: Convert to fraction form
    77,783.91/107,340.57 = 43,792.32/x
  3. Step 3: Cross multiply
    77,783.91x = 107,340.57 × 43,792.32
  4. Step 4: Simplify right side
    77,783.91x = 4,700,692,590.42
  5. Step 5: Solve for x
    x = 4,700,692,590.42/77,783.91
  6. Step 6: Final answer
    x = 60,432.71

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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.