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Finding the Fourth Proportional to 145,158.92, 200,308.20 and 81,484.64

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Solution

The fourth proportional to 145,158.92, 200,308.20 and 81,484.64 is: 112,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,158.92 : 200,308.20 = 81,484.64 : x
  2. Step 2: Convert to fraction form
    145,158.92/200,308.20 = 81,484.64/x
  3. Step 3: Cross multiply
    145,158.92x = 200,308.20 × 81,484.64
  4. Step 4: Simplify right side
    145,158.92x = 16,322,041,566.05
  5. Step 5: Solve for x
    x = 16,322,041,566.05/145,158.92
  6. Step 6: Final answer
    x = 112,442.57

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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.