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Finding the Fourth Proportional to 149,662.96, 206,539.71 and 85,130.53

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Solution

The fourth proportional to 149,662.96, 206,539.71 and 85,130.53 is: 117,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,662.96 : 206,539.71 = 85,130.53 : x
  2. Step 2: Convert to fraction form
    149,662.96/206,539.71 = 85,130.53/x
  3. Step 3: Cross multiply
    149,662.96x = 206,539.71 × 85,130.53
  4. Step 4: Simplify right side
    149,662.96x = 17,582,834,978.35
  5. Step 5: Solve for x
    x = 17,582,834,978.35/149,662.96
  6. Step 6: Final answer
    x = 117,482.88

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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.