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Finding the Fourth Proportional to 138,138.84, 190,618.23 and 77,730.39

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Solution

The fourth proportional to 138,138.84, 190,618.23 and 77,730.39 is: 107,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,138.84 : 190,618.23 = 77,730.39 : x
  2. Step 2: Convert to fraction form
    138,138.84/190,618.23 = 77,730.39/x
  3. Step 3: Cross multiply
    138,138.84x = 190,618.23 × 77,730.39
  4. Step 4: Simplify right side
    138,138.84x = 14,816,829,359.01
  5. Step 5: Solve for x
    x = 14,816,829,359.01/138,138.84
  6. Step 6: Final answer
    x = 107,260.42

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1.5x scale

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.