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Finding the Fourth Proportional to 120,547.64, 166,349.10 and 66,829.52

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Solution

The fourth proportional to 120,547.64, 166,349.10 and 66,829.52 is: 92,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,547.64 : 166,349.10 = 66,829.52 : x
  2. Step 2: Convert to fraction form
    120,547.64/166,349.10 = 66,829.52/x
  3. Step 3: Cross multiply
    120,547.64x = 166,349.10 × 66,829.52
  4. Step 4: Simplify right side
    120,547.64x = 11,117,030,505.43
  5. Step 5: Solve for x
    x = 11,117,030,505.43/120,547.64
  6. Step 6: Final answer
    x = 92,221.05

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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.