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Finding the Fourth Proportional to 77,783.84, 107,349.76 and 47,589.28

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Solution

The fourth proportional to 77,783.84, 107,349.76 and 47,589.28 is: 65,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,783.84 : 107,349.76 = 47,589.28 : x
  2. Step 2: Convert to fraction form
    77,783.84/107,349.76 = 47,589.28/x
  3. Step 3: Cross multiply
    77,783.84x = 107,349.76 × 47,589.28
  4. Step 4: Simplify right side
    77,783.84x = 5,108,697,786.57
  5. Step 5: Solve for x
    x = 5,108,697,786.57/77,783.84
  6. Step 6: Final answer
    x = 65,678.14

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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.