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Finding the Fourth Proportional to 255,968.49, 384,008.73 and 78,489.33

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Solution

The fourth proportional to 255,968.49, 384,008.73 and 78,489.33 is: 117,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,968.49 : 384,008.73 = 78,489.33 : x
  2. Step 2: Convert to fraction form
    255,968.49/384,008.73 = 78,489.33/x
  3. Step 3: Cross multiply
    255,968.49x = 384,008.73 × 78,489.33
  4. Step 4: Simplify right side
    255,968.49x = 30,140,587,931.85
  5. Step 5: Solve for x
    x = 30,140,587,931.85/255,968.49
  6. Step 6: Final answer
    x = 117,751.17

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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.