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Finding the Fourth Proportional to 145,735.20, 218,602.80 and 52,250.40

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Solution

The fourth proportional to 145,735.20, 218,602.80 and 52,250.40 is: 78,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,735.20 : 218,602.80 = 52,250.40 : x
  2. Step 2: Convert to fraction form
    145,735.20/218,602.80 = 52,250.40/x
  3. Step 3: Cross multiply
    145,735.20x = 218,602.80 × 52,250.40
  4. Step 4: Simplify right side
    145,735.20x = 11,422,083,741.12
  5. Step 5: Solve for x
    x = 11,422,083,741.12/145,735.20
  6. Step 6: Final answer
    x = 78,375.60

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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.