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Finding the Fourth Proportional to 190,597.50, 285,888 and 64,229.40

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Solution

The fourth proportional to 190,597.50, 285,888 and 64,229.40 is: 96,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,597.50 : 285,888 = 64,229.40 : x
  2. Step 2: Convert to fraction form
    190,597.50/285,888 = 64,229.40/x
  3. Step 3: Cross multiply
    190,597.50x = 285,888 × 64,229.40
  4. Step 4: Simplify right side
    190,597.50x = 18,362,414,707.20
  5. Step 5: Solve for x
    x = 18,362,414,707.20/190,597.50
  6. Step 6: Final answer
    x = 96,341.32

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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.