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Finding the Fourth Proportional to 229,483.68, 344,018.16 and 81,705.12

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Solution

The fourth proportional to 229,483.68, 344,018.16 and 81,705.12 is: 122,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,483.68 : 344,018.16 = 81,705.12 : x
  2. Step 2: Convert to fraction form
    229,483.68/344,018.16 = 81,705.12/x
  3. Step 3: Cross multiply
    229,483.68x = 344,018.16 × 81,705.12
  4. Step 4: Simplify right side
    229,483.68x = 28,108,045,044.98
  5. Step 5: Solve for x
    x = 28,108,045,044.98/229,483.68
  6. Step 6: Final answer
    x = 122,483.85

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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.