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Finding the Fourth Proportional to 190,540.32, 285,561.32 and 78,088.88

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Solution

The fourth proportional to 190,540.32, 285,561.32 and 78,088.88 is: 117,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,540.32 : 285,561.32 = 78,088.88 : x
  2. Step 2: Convert to fraction form
    190,540.32/285,561.32 = 78,088.88/x
  3. Step 3: Cross multiply
    190,540.32x = 285,561.32 × 78,088.88
  4. Step 4: Simplify right side
    190,540.32x = 22,299,163,650.12
  5. Step 5: Solve for x
    x = 22,299,163,650.12/190,540.32
  6. Step 6: Final answer
    x = 117,031.21

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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.