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Finding the Fourth Proportional to 78,946.43, 108,946.47 and 43,136.54

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Solution

The fourth proportional to 78,946.43, 108,946.47 and 43,136.54 is: 59,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,946.43 : 108,946.47 = 43,136.54 : x
  2. Step 2: Convert to fraction form
    78,946.43/108,946.47 = 43,136.54/x
  3. Step 3: Cross multiply
    78,946.43x = 108,946.47 × 43,136.54
  4. Step 4: Simplify right side
    78,946.43x = 4,699,573,216.28
  5. Step 5: Solve for x
    x = 4,699,573,216.28/78,946.43
  6. Step 6: Final answer
    x = 59,528.64

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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.