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Finding the Fourth Proportional to 100,862.30, 151,293.45 and 65,611.10

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Solution

The fourth proportional to 100,862.30, 151,293.45 and 65,611.10 is: 98,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,862.30 : 151,293.45 = 65,611.10 : x
  2. Step 2: Convert to fraction form
    100,862.30/151,293.45 = 65,611.10/x
  3. Step 3: Cross multiply
    100,862.30x = 151,293.45 × 65,611.10
  4. Step 4: Simplify right side
    100,862.30x = 9,926,529,677.30
  5. Step 5: Solve for x
    x = 9,926,529,677.30/100,862.30
  6. Step 6: Final answer
    x = 98,416.65

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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.