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Finding the Fourth Proportional to 78,777.29, 108,713.54 and 42,967.19

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Solution

The fourth proportional to 78,777.29, 108,713.54 and 42,967.19 is: 59,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,777.29 : 108,713.54 = 42,967.19 : x
  2. Step 2: Convert to fraction form
    78,777.29/108,713.54 = 42,967.19/x
  3. Step 3: Cross multiply
    78,777.29x = 108,713.54 × 42,967.19
  4. Step 4: Simplify right side
    78,777.29x = 4,671,115,328.75
  5. Step 5: Solve for x
    x = 4,671,115,328.75/78,777.29
  6. Step 6: Final answer
    x = 59,295.20

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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.