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Finding the Fourth Proportional to 145,978.92, 201,416.43 and 82,304.40

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Solution

The fourth proportional to 145,978.92, 201,416.43 and 82,304.40 is: 113,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,978.92 : 201,416.43 = 82,304.40 : x
  2. Step 2: Convert to fraction form
    145,978.92/201,416.43 = 82,304.40/x
  3. Step 3: Cross multiply
    145,978.92x = 201,416.43 × 82,304.40
  4. Step 4: Simplify right side
    145,978.92x = 16,577,458,421.29
  5. Step 5: Solve for x
    x = 16,577,458,421.29/145,978.92
  6. Step 6: Final answer
    x = 113,560.63

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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.