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Finding the Fourth Proportional to 142,179.84, 213,285.12 and 43,676.16

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Solution

The fourth proportional to 142,179.84, 213,285.12 and 43,676.16 is: 65,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,179.84 : 213,285.12 = 43,676.16 : x
  2. Step 2: Convert to fraction form
    142,179.84/213,285.12 = 43,676.16/x
  3. Step 3: Cross multiply
    142,179.84x = 213,285.12 × 43,676.16
  4. Step 4: Simplify right side
    142,179.84x = 9,315,475,026.74
  5. Step 5: Solve for x
    x = 9,315,475,026.74/142,179.84
  6. Step 6: Final answer
    x = 65,518.96

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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.