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Finding the Fourth Proportional to 145,820.70, 218,611.05 and 65,863.90

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Solution

The fourth proportional to 145,820.70, 218,611.05 and 65,863.90 is: 98,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,820.70 : 218,611.05 = 65,863.90 : x
  2. Step 2: Convert to fraction form
    145,820.70/218,611.05 = 65,863.90/x
  3. Step 3: Cross multiply
    145,820.70x = 218,611.05 × 65,863.90
  4. Step 4: Simplify right side
    145,820.70x = 14,398,576,336.10
  5. Step 5: Solve for x
    x = 14,398,576,336.10/145,820.70
  6. Step 6: Final answer
    x = 98,741.65

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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.