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Finding the Fourth Proportional to 137,959.90, 190,401.57 and 77,533.09

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Solution

The fourth proportional to 137,959.90, 190,401.57 and 77,533.09 is: 107,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,959.90 : 190,401.57 = 77,533.09 : x
  2. Step 2: Convert to fraction form
    137,959.90/190,401.57 = 77,533.09/x
  3. Step 3: Cross multiply
    137,959.90x = 190,401.57 × 77,533.09
  4. Step 4: Simplify right side
    137,959.90x = 14,762,420,723.28
  5. Step 5: Solve for x
    x = 14,762,420,723.28/137,959.90
  6. Step 6: Final answer
    x = 107,005.16

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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.