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Finding the Fourth Proportional to 54,136, 74,714.88 and 31,780

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Solution

The fourth proportional to 54,136, 74,714.88 and 31,780 is: 43,860.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,136 : 74,714.88 = 31,780 : x
  2. Step 2: Convert to fraction form
    54,136/74,714.88 = 31,780/x
  3. Step 3: Cross multiply
    54,136x = 74,714.88 × 31,780
  4. Step 4: Simplify right side
    54,136x = 2,374,438,886.40
  5. Step 5: Solve for x
    x = 2,374,438,886.40/54,136
  6. Step 6: Final answer
    x = 43,860.63

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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.