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Finding the Fourth Proportional to 78,784.50, 108,712.86 and 48,172.98

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Solution

The fourth proportional to 78,784.50, 108,712.86 and 48,172.98 is: 66,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,784.50 : 108,712.86 = 48,172.98 : x
  2. Step 2: Convert to fraction form
    78,784.50/108,712.86 = 48,172.98/x
  3. Step 3: Cross multiply
    78,784.50x = 108,712.86 × 48,172.98
  4. Step 4: Simplify right side
    78,784.50x = 5,237,022,430.52
  5. Step 5: Solve for x
    x = 5,237,022,430.52/78,784.50
  6. Step 6: Final answer
    x = 66,472.75

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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.