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Finding the Fourth Proportional to 78,622.64, 108,495.54 and 42,812.54

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Solution

The fourth proportional to 78,622.64, 108,495.54 and 42,812.54 is: 59,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,622.64 : 108,495.54 = 42,812.54 : x
  2. Step 2: Convert to fraction form
    78,622.64/108,495.54 = 42,812.54/x
  3. Step 3: Cross multiply
    78,622.64x = 108,495.54 × 42,812.54
  4. Step 4: Simplify right side
    78,622.64x = 4,644,969,646.07
  5. Step 5: Solve for x
    x = 4,644,969,646.07/78,622.64
  6. Step 6: Final answer
    x = 59,079.29

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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.