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Finding the Fourth Proportional to 65,346.80, 90,164.84 and 42,718.95

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Solution

The fourth proportional to 65,346.80, 90,164.84 and 42,718.95 is: 58,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,346.80 : 90,164.84 = 42,718.95 : x
  2. Step 2: Convert to fraction form
    65,346.80/90,164.84 = 42,718.95/x
  3. Step 3: Cross multiply
    65,346.80x = 90,164.84 × 42,718.95
  4. Step 4: Simplify right side
    65,346.80x = 3,851,747,078.12
  5. Step 5: Solve for x
    x = 3,851,747,078.12/65,346.80
  6. Step 6: Final answer
    x = 58,943.17

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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.