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Finding the Fourth Proportional to 202,078.90, 278,862.48 and 111,438.69

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Solution

The fourth proportional to 202,078.90, 278,862.48 and 111,438.69 is: 153,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,078.90 : 278,862.48 = 111,438.69 : x
  2. Step 2: Convert to fraction form
    202,078.90/278,862.48 = 111,438.69/x
  3. Step 3: Cross multiply
    202,078.90x = 278,862.48 × 111,438.69
  4. Step 4: Simplify right side
    202,078.90x = 31,076,069,461.35
  5. Step 5: Solve for x
    x = 31,076,069,461.35/202,078.90
  6. Step 6: Final answer
    x = 153,781.86

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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.