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Finding the Fourth Proportional to 65,359, 90,196.14 and 35,551

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Solution

The fourth proportional to 65,359, 90,196.14 and 35,551 is: 49,060.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,359 : 90,196.14 = 35,551 : x
  2. Step 2: Convert to fraction form
    65,359/90,196.14 = 35,551/x
  3. Step 3: Cross multiply
    65,359x = 90,196.14 × 35,551
  4. Step 4: Simplify right side
    65,359x = 3,206,562,973.14
  5. Step 5: Solve for x
    x = 3,206,562,973.14/65,359
  6. Step 6: Final answer
    x = 49,060.77

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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.