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Finding the Fourth Proportional to 77,958.58, 107,582.86 and 42,148.58

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Solution

The fourth proportional to 77,958.58, 107,582.86 and 42,148.58 is: 58,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,958.58 : 107,582.86 = 42,148.58 : x
  2. Step 2: Convert to fraction form
    77,958.58/107,582.86 = 42,148.58/x
  3. Step 3: Cross multiply
    77,958.58x = 107,582.86 × 42,148.58
  4. Step 4: Simplify right side
    77,958.58x = 4,534,464,781.34
  5. Step 5: Solve for x
    x = 4,534,464,781.34/77,958.58
  6. Step 6: Final answer
    x = 58,165.05

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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.