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Finding the Fourth Proportional to 78,608.37, 117,842.88 and 56,365.77

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Solution

The fourth proportional to 78,608.37, 117,842.88 and 56,365.77 is: 84,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,608.37 : 117,842.88 = 56,365.77 : x
  2. Step 2: Convert to fraction form
    78,608.37/117,842.88 = 56,365.77/x
  3. Step 3: Cross multiply
    78,608.37x = 117,842.88 × 56,365.77
  4. Step 4: Simplify right side
    78,608.37x = 6,642,304,670.22
  5. Step 5: Solve for x
    x = 6,642,304,670.22/78,608.37
  6. Step 6: Final answer
    x = 84,498.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.