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Finding the Fourth Proportional to 85,523.41, 128,172.12 and 61,909.93

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Solution

The fourth proportional to 85,523.41, 128,172.12 and 61,909.93 is: 92,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,523.41 : 128,172.12 = 61,909.93 : x
  2. Step 2: Convert to fraction form
    85,523.41/128,172.12 = 61,909.93/x
  3. Step 3: Cross multiply
    85,523.41x = 128,172.12 × 61,909.93
  4. Step 4: Simplify right side
    85,523.41x = 7,935,126,977.15
  5. Step 5: Solve for x
    x = 7,935,126,977.15/85,523.41
  6. Step 6: Final answer
    x = 92,783.10

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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.