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Finding the Fourth Proportional to 144,978.04, 200,070.78 and 80,447.53

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Solution

The fourth proportional to 144,978.04, 200,070.78 and 80,447.53 is: 111,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,978.04 : 200,070.78 = 80,447.53 : x
  2. Step 2: Convert to fraction form
    144,978.04/200,070.78 = 80,447.53/x
  3. Step 3: Cross multiply
    144,978.04x = 200,070.78 × 80,447.53
  4. Step 4: Simplify right side
    144,978.04x = 16,095,200,076.17
  5. Step 5: Solve for x
    x = 16,095,200,076.17/144,978.04
  6. Step 6: Final answer
    x = 111,018.19

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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.