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Finding the Fourth Proportional to 78,809.76, 108,757.14 and 42,999.48

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Solution

The fourth proportional to 78,809.76, 108,757.14 and 42,999.48 is: 59,339.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,809.76 : 108,757.14 = 42,999.48 : x
  2. Step 2: Convert to fraction form
    78,809.76/108,757.14 = 42,999.48/x
  3. Step 3: Cross multiply
    78,809.76x = 108,757.14 × 42,999.48
  4. Step 4: Simplify right side
    78,809.76x = 4,676,500,466.29
  5. Step 5: Solve for x
    x = 4,676,500,466.29/78,809.76
  6. Step 6: Final answer
    x = 59,339.10

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1.5x scale

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.