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Finding the Fourth Proportional to 55,978.08, 77,250.48 and 30,829.44

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Solution

The fourth proportional to 55,978.08, 77,250.48 and 30,829.44 is: 42,545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,978.08 : 77,250.48 = 30,829.44 : x
  2. Step 2: Convert to fraction form
    55,978.08/77,250.48 = 30,829.44/x
  3. Step 3: Cross multiply
    55,978.08x = 77,250.48 × 30,829.44
  4. Step 4: Simplify right side
    55,978.08x = 2,381,589,038.13
  5. Step 5: Solve for x
    x = 2,381,589,038.13/55,978.08
  6. Step 6: Final answer
    x = 42,545.03

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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.