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Finding the Fourth Proportional to 138,077.89, 190,525.25 and 77,644.93

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Solution

The fourth proportional to 138,077.89, 190,525.25 and 77,644.93 is: 107,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,077.89 : 190,525.25 = 77,644.93 : x
  2. Step 2: Convert to fraction form
    138,077.89/190,525.25 = 77,644.93/x
  3. Step 3: Cross multiply
    138,077.89x = 190,525.25 × 77,644.93
  4. Step 4: Simplify right side
    138,077.89x = 14,793,318,358.63
  5. Step 5: Solve for x
    x = 14,793,318,358.63/138,077.89
  6. Step 6: Final answer
    x = 107,137.49

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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.