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Finding the Fourth Proportional to 101,415.60, 152,137.80 and 31,287.60

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Solution

The fourth proportional to 101,415.60, 152,137.80 and 31,287.60 is: 46,935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,415.60 : 152,137.80 = 31,287.60 : x
  2. Step 2: Convert to fraction form
    101,415.60/152,137.80 = 31,287.60/x
  3. Step 3: Cross multiply
    101,415.60x = 152,137.80 × 31,287.60
  4. Step 4: Simplify right side
    101,415.60x = 4,760,026,631.28
  5. Step 5: Solve for x
    x = 4,760,026,631.28/101,415.60
  6. Step 6: Final answer
    x = 46,935.84

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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.