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Finding the Fourth Proportional to 77,783.79, 107,309.70 and 57,690.12

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Solution

The fourth proportional to 77,783.79, 107,309.70 and 57,690.12 is: 79,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,783.79 : 107,309.70 = 57,690.12 : x
  2. Step 2: Convert to fraction form
    77,783.79/107,309.70 = 57,690.12/x
  3. Step 3: Cross multiply
    77,783.79x = 107,309.70 × 57,690.12
  4. Step 4: Simplify right side
    77,783.79x = 6,190,709,470.16
  5. Step 5: Solve for x
    x = 6,190,709,470.16/77,783.79
  6. Step 6: Final answer
    x = 79,588.68

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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.