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Finding the Fourth Proportional to 149,889.95, 206,615.10 and 102,061.07

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Solution

The fourth proportional to 149,889.95, 206,615.10 and 102,061.07 is: 140,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,889.95 : 206,615.10 = 102,061.07 : x
  2. Step 2: Convert to fraction form
    149,889.95/206,615.10 = 102,061.07/x
  3. Step 3: Cross multiply
    149,889.95x = 206,615.10 × 102,061.07
  4. Step 4: Simplify right side
    149,889.95x = 21,087,357,151.08
  5. Step 5: Solve for x
    x = 21,087,357,151.08/149,889.95
  6. Step 6: Final answer
    x = 140,685.60

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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.