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Finding the Fourth Proportional to 219,026.60, 328,475.10 and 85,830.20

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Solution

The fourth proportional to 219,026.60, 328,475.10 and 85,830.20 is: 128,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,026.60 : 328,475.10 = 85,830.20 : x
  2. Step 2: Convert to fraction form
    219,026.60/328,475.10 = 85,830.20/x
  3. Step 3: Cross multiply
    219,026.60x = 328,475.10 × 85,830.20
  4. Step 4: Simplify right side
    219,026.60x = 28,193,083,528.02
  5. Step 5: Solve for x
    x = 28,193,083,528.02/219,026.60
  6. Step 6: Final answer
    x = 128,719.91

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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.