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Finding the Fourth Proportional to 85,484.96, 128,214.48 and 30,068

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Solution

The fourth proportional to 85,484.96, 128,214.48 and 30,068 is: 45,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,484.96 : 128,214.48 = 30,068 : x
  2. Step 2: Convert to fraction form
    85,484.96/128,214.48 = 30,068/x
  3. Step 3: Cross multiply
    85,484.96x = 128,214.48 × 30,068
  4. Step 4: Simplify right side
    85,484.96x = 3,855,152,984.64
  5. Step 5: Solve for x
    x = 3,855,152,984.64/85,484.96
  6. Step 6: Final answer
    x = 45,097.44

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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.