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Finding the Fourth Proportional to 144,903.15, 200,009.40 and 101,895.78

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Solution

The fourth proportional to 144,903.15, 200,009.40 and 101,895.78 is: 140,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,903.15 : 200,009.40 = 101,895.78 : x
  2. Step 2: Convert to fraction form
    144,903.15/200,009.40 = 101,895.78/x
  3. Step 3: Cross multiply
    144,903.15x = 200,009.40 × 101,895.78
  4. Step 4: Simplify right side
    144,903.15x = 20,380,113,820.33
  5. Step 5: Solve for x
    x = 20,380,113,820.33/144,903.15
  6. Step 6: Final answer
    x = 140,646.45

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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.