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Finding the Fourth Proportional to 137,751.84, 190,081.44 and 77,309.28

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Solution

The fourth proportional to 137,751.84, 190,081.44 and 77,309.28 is: 106,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,751.84 : 190,081.44 = 77,309.28 : x
  2. Step 2: Convert to fraction form
    137,751.84/190,081.44 = 77,309.28/x
  3. Step 3: Cross multiply
    137,751.84x = 190,081.44 × 77,309.28
  4. Step 4: Simplify right side
    137,751.84x = 14,695,059,267.76
  5. Step 5: Solve for x
    x = 14,695,059,267.76/137,751.84
  6. Step 6: Final answer
    x = 106,677.77

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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.