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Finding the Fourth Proportional to 78,792.90, 108,735.66 and 42,984.15

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Solution

The fourth proportional to 78,792.90, 108,735.66 and 42,984.15 is: 59,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,792.90 : 108,735.66 = 42,984.15 : x
  2. Step 2: Convert to fraction form
    78,792.90/108,735.66 = 42,984.15/x
  3. Step 3: Cross multiply
    78,792.90x = 108,735.66 × 42,984.15
  4. Step 4: Simplify right side
    78,792.90x = 4,673,909,919.79
  5. Step 5: Solve for x
    x = 4,673,909,919.79/78,792.90
  6. Step 6: Final answer
    x = 59,318.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.