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Finding the Fourth Proportional to 127,530.15, 191,131.20 and 77,557.20

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Solution

The fourth proportional to 127,530.15, 191,131.20 and 77,557.20 is: 116,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,530.15 : 191,131.20 = 77,557.20 : x
  2. Step 2: Convert to fraction form
    127,530.15/191,131.20 = 77,557.20/x
  3. Step 3: Cross multiply
    127,530.15x = 191,131.20 × 77,557.20
  4. Step 4: Simplify right side
    127,530.15x = 14,823,600,704.64
  5. Step 5: Solve for x
    x = 14,823,600,704.64/127,530.15
  6. Step 6: Final answer
    x = 116,236.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.