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Finding the Fourth Proportional to 78,354.61, 108,129.36 and 44,820.61

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Solution

The fourth proportional to 78,354.61, 108,129.36 and 44,820.61 is: 61,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,354.61 : 108,129.36 = 44,820.61 : x
  2. Step 2: Convert to fraction form
    78,354.61/108,129.36 = 44,820.61/x
  3. Step 3: Cross multiply
    78,354.61x = 108,129.36 × 44,820.61
  4. Step 4: Simplify right side
    78,354.61x = 4,846,423,874.11
  5. Step 5: Solve for x
    x = 4,846,423,874.11/78,354.61
  6. Step 6: Final answer
    x = 61,852.44

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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.