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Finding the Fourth Proportional to 137,833.98, 190,215.48 and 77,415.27

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Solution

The fourth proportional to 137,833.98, 190,215.48 and 77,415.27 is: 106,835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,833.98 : 190,215.48 = 77,415.27 : x
  2. Step 2: Convert to fraction form
    137,833.98/190,215.48 = 77,415.27/x
  3. Step 3: Cross multiply
    137,833.98x = 190,215.48 × 77,415.27
  4. Step 4: Simplify right side
    137,833.98x = 14,725,582,742.38
  5. Step 5: Solve for x
    x = 14,725,582,742.38/137,833.98
  6. Step 6: Final answer
    x = 106,835.65

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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.