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Finding the Fourth Proportional to 77,955.91, 107,579.16 and 42,145.91

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Solution

The fourth proportional to 77,955.91, 107,579.16 and 42,145.91 is: 58,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,955.91 : 107,579.16 = 42,145.91 : x
  2. Step 2: Convert to fraction form
    77,955.91/107,579.16 = 42,145.91/x
  3. Step 3: Cross multiply
    77,955.91x = 107,579.16 × 42,145.91
  4. Step 4: Simplify right side
    77,955.91x = 4,534,021,700.60
  5. Step 5: Solve for x
    x = 4,534,021,700.60/77,955.91
  6. Step 6: Final answer
    x = 58,161.36

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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.