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Finding the Fourth Proportional to 149,888.58, 206,938.01 and 142,695.48

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Solution

The fourth proportional to 149,888.58, 206,938.01 and 142,695.48 is: 197,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,888.58 : 206,938.01 = 142,695.48 : x
  2. Step 2: Convert to fraction form
    149,888.58/206,938.01 = 142,695.48/x
  3. Step 3: Cross multiply
    149,888.58x = 206,938.01 × 142,695.48
  4. Step 4: Simplify right side
    149,888.58x = 29,529,117,953.72
  5. Step 5: Solve for x
    x = 29,529,117,953.72/149,888.58
  6. Step 6: Final answer
    x = 197,007.12

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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.