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Finding the Fourth Proportional to 137,892.48, 190,291.44 and 77,464.80

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Solution

The fourth proportional to 137,892.48, 190,291.44 and 77,464.80 is: 106,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,892.48 : 190,291.44 = 77,464.80 : x
  2. Step 2: Convert to fraction form
    137,892.48/190,291.44 = 77,464.80/x
  3. Step 3: Cross multiply
    137,892.48x = 190,291.44 × 77,464.80
  4. Step 4: Simplify right side
    137,892.48x = 14,740,888,341.31
  5. Step 5: Solve for x
    x = 14,740,888,341.31/137,892.48
  6. Step 6: Final answer
    x = 106,901.32

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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.