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Finding the Fourth Proportional to 78,229.08, 117,315 and 28,297.20

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Solution

The fourth proportional to 78,229.08, 117,315 and 28,297.20 is: 42,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,229.08 : 117,315 = 28,297.20 : x
  2. Step 2: Convert to fraction form
    78,229.08/117,315 = 28,297.20/x
  3. Step 3: Cross multiply
    78,229.08x = 117,315 × 28,297.20
  4. Step 4: Simplify right side
    78,229.08x = 3,319,686,018
  5. Step 5: Solve for x
    x = 3,319,686,018/78,229.08
  6. Step 6: Final answer
    x = 42,435.45

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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.