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Finding the Fourth Proportional to 85,400.16, 128,294.64 and 61,780.56

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Solution

The fourth proportional to 85,400.16, 128,294.64 and 61,780.56 is: 92,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,400.16 : 128,294.64 = 61,780.56 : x
  2. Step 2: Convert to fraction form
    85,400.16/128,294.64 = 61,780.56/x
  3. Step 3: Cross multiply
    85,400.16x = 128,294.64 × 61,780.56
  4. Step 4: Simplify right side
    85,400.16x = 7,926,114,704.20
  5. Step 5: Solve for x
    x = 7,926,114,704.20/85,400.16
  6. Step 6: Final answer
    x = 92,811.47

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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.