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Finding the Fourth Proportional to 137,684.75, 190,007.84 and 77,259.76

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Solution

The fourth proportional to 137,684.75, 190,007.84 and 77,259.76 is: 106,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,684.75 : 190,007.84 = 77,259.76 : x
  2. Step 2: Convert to fraction form
    137,684.75/190,007.84 = 77,259.76/x
  3. Step 3: Cross multiply
    137,684.75x = 190,007.84 × 77,259.76
  4. Step 4: Simplify right side
    137,684.75x = 14,679,959,834.65
  5. Step 5: Solve for x
    x = 14,679,959,834.65/137,684.75
  6. Step 6: Final answer
    x = 106,620.09

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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.