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Finding the Fourth Proportional to 77,760.84, 107,320.29 and 43,776

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Solution

The fourth proportional to 77,760.84, 107,320.29 and 43,776 is: 60,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,760.84 : 107,320.29 = 43,776 : x
  2. Step 2: Convert to fraction form
    77,760.84/107,320.29 = 43,776/x
  3. Step 3: Cross multiply
    77,760.84x = 107,320.29 × 43,776
  4. Step 4: Simplify right side
    77,760.84x = 4,698,053,015.04
  5. Step 5: Solve for x
    x = 4,698,053,015.04/77,760.84
  6. Step 6: Final answer
    x = 60,416.70

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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.