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Finding the Fourth Proportional to 152,771.64, 210,850.20 and 89,109.45

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Solution

The fourth proportional to 152,771.64, 210,850.20 and 89,109.45 is: 122,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,771.64 : 210,850.20 = 89,109.45 : x
  2. Step 2: Convert to fraction form
    152,771.64/210,850.20 = 89,109.45/x
  3. Step 3: Cross multiply
    152,771.64x = 210,850.20 × 89,109.45
  4. Step 4: Simplify right side
    152,771.64x = 18,788,745,354.39
  5. Step 5: Solve for x
    x = 18,788,745,354.39/152,771.64
  6. Step 6: Final answer
    x = 122,985.82

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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.