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Finding the Fourth Proportional to 101,980.41, 152,840.80 and 57,631.89

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Solution

The fourth proportional to 101,980.41, 152,840.80 and 57,631.89 is: 86,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980.41 : 152,840.80 = 57,631.89 : x
  2. Step 2: Convert to fraction form
    101,980.41/152,840.80 = 57,631.89/x
  3. Step 3: Cross multiply
    101,980.41x = 152,840.80 × 57,631.89
  4. Step 4: Simplify right side
    101,980.41x = 8,808,504,173.11
  5. Step 5: Solve for x
    x = 8,808,504,173.11/101,980.41
  6. Step 6: Final answer
    x = 86,374.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.