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Finding the Fourth Proportional to 183,686.48, 275,558.52 and 78,506

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Solution

The fourth proportional to 183,686.48, 275,558.52 and 78,506 is: 117,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,686.48 : 275,558.52 = 78,506 : x
  2. Step 2: Convert to fraction form
    183,686.48/275,558.52 = 78,506/x
  3. Step 3: Cross multiply
    183,686.48x = 275,558.52 × 78,506
  4. Step 4: Simplify right side
    183,686.48x = 21,632,997,171.12
  5. Step 5: Solve for x
    x = 21,632,997,171.12/183,686.48
  6. Step 6: Final answer
    x = 117,771.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.