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Finding the Fourth Proportional to 202,973.58, 280,035.27 and 118,020.78

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Solution

The fourth proportional to 202,973.58, 280,035.27 and 118,020.78 is: 162,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,973.58 : 280,035.27 = 118,020.78 : x
  2. Step 2: Convert to fraction form
    202,973.58/280,035.27 = 118,020.78/x
  3. Step 3: Cross multiply
    202,973.58x = 280,035.27 × 118,020.78
  4. Step 4: Simplify right side
    202,973.58x = 33,049,980,992.91
  5. Step 5: Solve for x
    x = 33,049,980,992.91/202,973.58
  6. Step 6: Final answer
    x = 162,828.98

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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.