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Finding the Fourth Proportional to 85,792, 128,656.38 and 29,617.76

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Solution

The fourth proportional to 85,792, 128,656.38 and 29,617.76 is: 44,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,792 : 128,656.38 = 29,617.76 : x
  2. Step 2: Convert to fraction form
    85,792/128,656.38 = 29,617.76/x
  3. Step 3: Cross multiply
    85,792x = 128,656.38 × 29,617.76
  4. Step 4: Simplify right side
    85,792x = 3,810,513,785.31
  5. Step 5: Solve for x
    x = 3,810,513,785.31/85,792
  6. Step 6: Final answer
    x = 44,415.72

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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.