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Finding the Fourth Proportional to 65,292.48, 90,072 and 40,098.24

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Solution

The fourth proportional to 65,292.48, 90,072 and 40,098.24 is: 55,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,292.48 : 90,072 = 40,098.24 : x
  2. Step 2: Convert to fraction form
    65,292.48/90,072 = 40,098.24/x
  3. Step 3: Cross multiply
    65,292.48x = 90,072 × 40,098.24
  4. Step 4: Simplify right side
    65,292.48x = 3,611,728,673.28
  5. Step 5: Solve for x
    x = 3,611,728,673.28/65,292.48
  6. Step 6: Final answer
    x = 55,316.15

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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.