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Finding the Fourth Proportional to 145,903.62, 218,724.14 and 52,387.50

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Solution

The fourth proportional to 145,903.62, 218,724.14 and 52,387.50 is: 78,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,903.62 : 218,724.14 = 52,387.50 : x
  2. Step 2: Convert to fraction form
    145,903.62/218,724.14 = 52,387.50/x
  3. Step 3: Cross multiply
    145,903.62x = 218,724.14 × 52,387.50
  4. Step 4: Simplify right side
    145,903.62x = 11,458,410,884.25
  5. Step 5: Solve for x
    x = 11,458,410,884.25/145,903.62
  6. Step 6: Final answer
    x = 78,534.11

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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.