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Finding the Fourth Proportional to 55,978.08, 77,249.81 and 30,484.49

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Solution

The fourth proportional to 55,978.08, 77,249.81 and 30,484.49 is: 42,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,978.08 : 77,249.81 = 30,484.49 : x
  2. Step 2: Convert to fraction form
    55,978.08/77,249.81 = 30,484.49/x
  3. Step 3: Cross multiply
    55,978.08x = 77,249.81 × 30,484.49
  4. Step 4: Simplify right side
    55,978.08x = 2,354,920,750.41
  5. Step 5: Solve for x
    x = 2,354,920,750.41/55,978.08
  6. Step 6: Final answer
    x = 42,068.63

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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.