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Finding the Fourth Proportional to 211,893.31, 292,671.80 and 158,416.03

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Solution

The fourth proportional to 211,893.31, 292,671.80 and 158,416.03 is: 218,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,893.31 : 292,671.80 = 158,416.03 : x
  2. Step 2: Convert to fraction form
    211,893.31/292,671.80 = 158,416.03/x
  3. Step 3: Cross multiply
    211,893.31x = 292,671.80 × 158,416.03
  4. Step 4: Simplify right side
    211,893.31x = 46,363,904,648.95
  5. Step 5: Solve for x
    x = 46,363,904,648.95/211,893.31
  6. Step 6: Final answer
    x = 218,807.78

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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.