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Finding the Fourth Proportional to 138,260.70, 190,803.35 and 77,833.53

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Solution

The fourth proportional to 138,260.70, 190,803.35 and 77,833.53 is: 107,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,260.70 : 190,803.35 = 77,833.53 : x
  2. Step 2: Convert to fraction form
    138,260.70/190,803.35 = 77,833.53/x
  3. Step 3: Cross multiply
    138,260.70x = 190,803.35 × 77,833.53
  4. Step 4: Simplify right side
    138,260.70x = 14,850,898,559.73
  5. Step 5: Solve for x
    x = 14,850,898,559.73/138,260.70
  6. Step 6: Final answer
    x = 107,412.29

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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.