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Finding the Fourth Proportional to 80,457.76, 111,024.35 and 47,746.54

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Solution

The fourth proportional to 80,457.76, 111,024.35 and 47,746.54 is: 65,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,457.76 : 111,024.35 = 47,746.54 : x
  2. Step 2: Convert to fraction form
    80,457.76/111,024.35 = 47,746.54/x
  3. Step 3: Cross multiply
    80,457.76x = 111,024.35 × 47,746.54
  4. Step 4: Simplify right side
    80,457.76x = 5,301,028,200.80
  5. Step 5: Solve for x
    x = 5,301,028,200.80/80,457.76
  6. Step 6: Final answer
    x = 65,885.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.