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Finding the Fourth Proportional to 85,152, 127,730.16 and 29,748

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Solution

The fourth proportional to 85,152, 127,730.16 and 29,748 is: 44,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,152 : 127,730.16 = 29,748 : x
  2. Step 2: Convert to fraction form
    85,152/127,730.16 = 29,748/x
  3. Step 3: Cross multiply
    85,152x = 127,730.16 × 29,748
  4. Step 4: Simplify right side
    85,152x = 3,799,716,799.68
  5. Step 5: Solve for x
    x = 3,799,716,799.68/85,152
  6. Step 6: Final answer
    x = 44,622.75

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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.