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Finding the Fourth Proportional to 101,415.28, 139,870.92 and 77,504.08

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Solution

The fourth proportional to 101,415.28, 139,870.92 and 77,504.08 is: 106,892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,415.28 : 139,870.92 = 77,504.08 : x
  2. Step 2: Convert to fraction form
    101,415.28/139,870.92 = 77,504.08/x
  3. Step 3: Cross multiply
    101,415.28x = 139,870.92 × 77,504.08
  4. Step 4: Simplify right side
    101,415.28x = 10,840,566,973.35
  5. Step 5: Solve for x
    x = 10,840,566,973.35/101,415.28
  6. Step 6: Final answer
    x = 106,892.84

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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.