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Finding the Fourth Proportional to 138,390.70, 190,978.30 and 77,980.80

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Solution

The fourth proportional to 138,390.70, 190,978.30 and 77,980.80 is: 107,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,390.70 : 190,978.30 = 77,980.80 : x
  2. Step 2: Convert to fraction form
    138,390.70/190,978.30 = 77,980.80/x
  3. Step 3: Cross multiply
    138,390.70x = 190,978.30 × 77,980.80
  4. Step 4: Simplify right side
    138,390.70x = 14,892,640,616.64
  5. Step 5: Solve for x
    x = 14,892,640,616.64/138,390.70
  6. Step 6: Final answer
    x = 107,613.02

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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.