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Finding the Fourth Proportional to 147,004.80, 202,852.80 and 101,731.20

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Solution

The fourth proportional to 147,004.80, 202,852.80 and 101,731.20 is: 140,379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,004.80 : 202,852.80 = 101,731.20 : x
  2. Step 2: Convert to fraction form
    147,004.80/202,852.80 = 101,731.20/x
  3. Step 3: Cross multiply
    147,004.80x = 202,852.80 × 101,731.20
  4. Step 4: Simplify right side
    147,004.80x = 20,636,458,767.36
  5. Step 5: Solve for x
    x = 20,636,458,767.36/147,004.80
  6. Step 6: Final answer
    x = 140,379.49

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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.