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Finding the Fourth Proportional to 145,468.52, 200,728.93 and 80,922.50

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Solution

The fourth proportional to 145,468.52, 200,728.93 and 80,922.50 is: 111,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,468.52 : 200,728.93 = 80,922.50 : x
  2. Step 2: Convert to fraction form
    145,468.52/200,728.93 = 80,922.50/x
  3. Step 3: Cross multiply
    145,468.52x = 200,728.93 × 80,922.50
  4. Step 4: Simplify right side
    145,468.52x = 16,243,486,999.75
  5. Step 5: Solve for x
    x = 16,243,486,999.75/145,468.52
  6. Step 6: Final answer
    x = 111,663.25

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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.