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Finding the Fourth Proportional to 71,686.76, 98,878.74 and 65,738.12

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Solution

The fourth proportional to 71,686.76, 98,878.74 and 65,738.12 is: 90,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,686.76 : 98,878.74 = 65,738.12 : x
  2. Step 2: Convert to fraction form
    71,686.76/98,878.74 = 65,738.12/x
  3. Step 3: Cross multiply
    71,686.76x = 98,878.74 × 65,738.12
  4. Step 4: Simplify right side
    71,686.76x = 6,500,102,475.57
  5. Step 5: Solve for x
    x = 6,500,102,475.57/71,686.76
  6. Step 6: Final answer
    x = 90,673.68

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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.