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Finding the Fourth Proportional to 145,487.82, 218,113.92 and 65,467.02

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Solution

The fourth proportional to 145,487.82, 218,113.92 and 65,467.02 is: 98,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,487.82 : 218,113.92 = 65,467.02 : x
  2. Step 2: Convert to fraction form
    145,487.82/218,113.92 = 65,467.02/x
  3. Step 3: Cross multiply
    145,487.82x = 218,113.92 × 65,467.02
  4. Step 4: Simplify right side
    145,487.82x = 14,279,268,362.92
  5. Step 5: Solve for x
    x = 14,279,268,362.92/145,487.82
  6. Step 6: Final answer
    x = 98,147.52

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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.