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Finding the Fourth Proportional to 76,779.04, 115,168.56 and 43,924

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Solution

The fourth proportional to 76,779.04, 115,168.56 and 43,924 is: 65,886

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,779.04 : 115,168.56 = 43,924 : x
  2. Step 2: Convert to fraction form
    76,779.04/115,168.56 = 43,924/x
  3. Step 3: Cross multiply
    76,779.04x = 115,168.56 × 43,924
  4. Step 4: Simplify right side
    76,779.04x = 5,058,663,829.44
  5. Step 5: Solve for x
    x = 5,058,663,829.44/76,779.04
  6. Step 6: Final answer
    x = 65,886

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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.