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Finding the Fourth Proportional to 77,958.54, 107,582.78 and 42,148.54

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Solution

The fourth proportional to 77,958.54, 107,582.78 and 42,148.54 is: 58,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,958.54 : 107,582.78 = 42,148.54 : x
  2. Step 2: Convert to fraction form
    77,958.54/107,582.78 = 42,148.54/x
  3. Step 3: Cross multiply
    77,958.54x = 107,582.78 × 42,148.54
  4. Step 4: Simplify right side
    77,958.54x = 4,534,457,345.99
  5. Step 5: Solve for x
    x = 4,534,457,345.99/77,958.54
  6. Step 6: Final answer
    x = 58,164.99

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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.