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Finding the Fourth Proportional to 65,480, 90,362.40 and 35,672

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Solution

The fourth proportional to 65,480, 90,362.40 and 35,672 is: 49,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,480 : 90,362.40 = 35,672 : x
  2. Step 2: Convert to fraction form
    65,480/90,362.40 = 35,672/x
  3. Step 3: Cross multiply
    65,480x = 90,362.40 × 35,672
  4. Step 4: Simplify right side
    65,480x = 3,223,407,532.80
  5. Step 5: Solve for x
    x = 3,223,407,532.80/65,480
  6. Step 6: Final answer
    x = 49,227.36

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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.