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Finding the Fourth Proportional to 109,498.40, 164,209.20 and 56,890.40

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Solution

The fourth proportional to 109,498.40, 164,209.20 and 56,890.40 is: 85,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,498.40 : 164,209.20 = 56,890.40 : x
  2. Step 2: Convert to fraction form
    109,498.40/164,209.20 = 56,890.40/x
  3. Step 3: Cross multiply
    109,498.40x = 164,209.20 × 56,890.40
  4. Step 4: Simplify right side
    109,498.40x = 9,341,927,071.68
  5. Step 5: Solve for x
    x = 9,341,927,071.68/109,498.40
  6. Step 6: Final answer
    x = 85,315.65

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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.