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Finding the Fourth Proportional to 145,960.08, 201,425.22 and 78,892.08

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Solution

The fourth proportional to 145,960.08, 201,425.22 and 78,892.08 is: 108,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,960.08 : 201,425.22 = 78,892.08 : x
  2. Step 2: Convert to fraction form
    145,960.08/201,425.22 = 78,892.08/x
  3. Step 3: Cross multiply
    145,960.08x = 201,425.22 × 78,892.08
  4. Step 4: Simplify right side
    145,960.08x = 15,890,854,570.26
  5. Step 5: Solve for x
    x = 15,890,854,570.26/145,960.08
  6. Step 6: Final answer
    x = 108,871.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.