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Finding the Fourth Proportional to 137,718.05, 190,054.30 and 77,293.30

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Solution

The fourth proportional to 137,718.05, 190,054.30 and 77,293.30 is: 106,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,718.05 : 190,054.30 = 77,293.30 : x
  2. Step 2: Convert to fraction form
    137,718.05/190,054.30 = 77,293.30/x
  3. Step 3: Cross multiply
    137,718.05x = 190,054.30 × 77,293.30
  4. Step 4: Simplify right side
    137,718.05x = 14,689,923,365.77
  5. Step 5: Solve for x
    x = 14,689,923,365.77/137,718.05
  6. Step 6: Final answer
    x = 106,666.66

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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.