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Finding the Fourth Proportional to 152,698.78, 210,724.37 and 85,630.78

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Solution

The fourth proportional to 152,698.78, 210,724.37 and 85,630.78 is: 118,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,698.78 : 210,724.37 = 85,630.78 : x
  2. Step 2: Convert to fraction form
    152,698.78/210,724.37 = 85,630.78/x
  3. Step 3: Cross multiply
    152,698.78x = 210,724.37 × 85,630.78
  4. Step 4: Simplify right side
    152,698.78x = 18,044,492,168.11
  5. Step 5: Solve for x
    x = 18,044,492,168.11/152,698.78
  6. Step 6: Final answer
    x = 118,170.51

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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.