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Finding the Fourth Proportional to 145,422.32, 218,015.80 and 65,401.68

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Solution

The fourth proportional to 145,422.32, 218,015.80 and 65,401.68 is: 98,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,422.32 : 218,015.80 = 65,401.68 : x
  2. Step 2: Convert to fraction form
    145,422.32/218,015.80 = 65,401.68/x
  3. Step 3: Cross multiply
    145,422.32x = 218,015.80 × 65,401.68
  4. Step 4: Simplify right side
    145,422.32x = 14,258,599,382.14
  5. Step 5: Solve for x
    x = 14,258,599,382.14/145,422.32
  6. Step 6: Final answer
    x = 98,049.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.