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Finding the Fourth Proportional to 251,878.06, 347,590.20 and 138,700

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Solution

The fourth proportional to 251,878.06, 347,590.20 and 138,700 is: 191,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,878.06 : 347,590.20 = 138,700 : x
  2. Step 2: Convert to fraction form
    251,878.06/347,590.20 = 138,700/x
  3. Step 3: Cross multiply
    251,878.06x = 347,590.20 × 138,700
  4. Step 4: Simplify right side
    251,878.06x = 48,210,760,740
  5. Step 5: Solve for x
    x = 48,210,760,740/251,878.06
  6. Step 6: Final answer
    x = 191,405.16

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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.