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Finding the Fourth Proportional to 102,004, 140,778.72 and 57,292

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Solution

The fourth proportional to 102,004, 140,778.72 and 57,292 is: 79,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,004 : 140,778.72 = 57,292 : x
  2. Step 2: Convert to fraction form
    102,004/140,778.72 = 57,292/x
  3. Step 3: Cross multiply
    102,004x = 140,778.72 × 57,292
  4. Step 4: Simplify right side
    102,004x = 8,065,494,426.24
  5. Step 5: Solve for x
    x = 8,065,494,426.24/102,004
  6. Step 6: Final answer
    x = 79,070.37

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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.