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Finding the Fourth Proportional to 145,663.68, 200,968.95 and 88,326

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Solution

The fourth proportional to 145,663.68, 200,968.95 and 88,326 is: 121,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,663.68 : 200,968.95 = 88,326 : x
  2. Step 2: Convert to fraction form
    145,663.68/200,968.95 = 88,326/x
  3. Step 3: Cross multiply
    145,663.68x = 200,968.95 × 88,326
  4. Step 4: Simplify right side
    145,663.68x = 17,750,783,477.70
  5. Step 5: Solve for x
    x = 17,750,783,477.70/145,663.68
  6. Step 6: Final answer
    x = 121,861.42

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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.