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Finding the Fourth Proportional to 85,369.74, 128,068.53 and 32,065.89

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Solution

The fourth proportional to 85,369.74, 128,068.53 and 32,065.89 is: 48,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,369.74 : 128,068.53 = 32,065.89 : x
  2. Step 2: Convert to fraction form
    85,369.74/128,068.53 = 32,065.89/x
  3. Step 3: Cross multiply
    85,369.74x = 128,068.53 × 32,065.89
  4. Step 4: Simplify right side
    85,369.74x = 4,106,631,395.44
  5. Step 5: Solve for x
    x = 4,106,631,395.44/85,369.74
  6. Step 6: Final answer
    x = 48,104.06

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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.