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Finding the Fourth Proportional to 85,846.68, 128,666.34 and 36,495

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Solution

The fourth proportional to 85,846.68, 128,666.34 and 36,495 is: 54,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,846.68 : 128,666.34 = 36,495 : x
  2. Step 2: Convert to fraction form
    85,846.68/128,666.34 = 36,495/x
  3. Step 3: Cross multiply
    85,846.68x = 128,666.34 × 36,495
  4. Step 4: Simplify right side
    85,846.68x = 4,695,678,078.30
  5. Step 5: Solve for x
    x = 4,695,678,078.30/85,846.68
  6. Step 6: Final answer
    x = 54,698.42

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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.