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Finding the Fourth Proportional to 65,870.82, 90,954.13 and 60,833.20

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Solution

The fourth proportional to 65,870.82, 90,954.13 and 60,833.20 is: 83,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,870.82 : 90,954.13 = 60,833.20 : x
  2. Step 2: Convert to fraction form
    65,870.82/90,954.13 = 60,833.20/x
  3. Step 3: Cross multiply
    65,870.82x = 90,954.13 × 60,833.20
  4. Step 4: Simplify right side
    65,870.82x = 5,533,030,326.35
  5. Step 5: Solve for x
    x = 5,533,030,326.35/65,870.82
  6. Step 6: Final answer
    x = 83,998.20

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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.