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Finding the Fourth Proportional to 642,085.14, 963,054.81 and 168,807.42

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Solution

The fourth proportional to 642,085.14, 963,054.81 and 168,807.42 is: 253,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,085.14 : 963,054.81 = 168,807.42 : x
  2. Step 2: Convert to fraction form
    642,085.14/963,054.81 = 168,807.42/x
  3. Step 3: Cross multiply
    642,085.14x = 963,054.81 × 168,807.42
  4. Step 4: Simplify right side
    642,085.14x = 162,570,797,794.69
  5. Step 5: Solve for x
    x = 162,570,797,794.69/642,085.14
  6. Step 6: Final answer
    x = 253,191.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.