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Finding the Fourth Proportional to 109,234.30, 163,856.85 and 56,746.30

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Solution

The fourth proportional to 109,234.30, 163,856.85 and 56,746.30 is: 85,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,234.30 : 163,856.85 = 56,746.30 : x
  2. Step 2: Convert to fraction form
    109,234.30/163,856.85 = 56,746.30/x
  3. Step 3: Cross multiply
    109,234.30x = 163,856.85 × 56,746.30
  4. Step 4: Simplify right side
    109,234.30x = 9,298,269,967.16
  5. Step 5: Solve for x
    x = 9,298,269,967.16/109,234.30
  6. Step 6: Final answer
    x = 85,122.26

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1.5x scale

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.