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Finding the Fourth Proportional to 219,042.64, 328,483.72 and 106,689.16

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Solution

The fourth proportional to 219,042.64, 328,483.72 and 106,689.16 is: 159,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,042.64 : 328,483.72 = 106,689.16 : x
  2. Step 2: Convert to fraction form
    219,042.64/328,483.72 = 106,689.16/x
  3. Step 3: Cross multiply
    219,042.64x = 328,483.72 × 106,689.16
  4. Step 4: Simplify right side
    219,042.64x = 35,045,652,160.48
  5. Step 5: Solve for x
    x = 35,045,652,160.48/219,042.64
  6. Step 6: Final answer
    x = 159,994.66

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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.