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Finding the Fourth Proportional to 136,647.40, 188,549.22 and 77,031.40

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Solution

The fourth proportional to 136,647.40, 188,549.22 and 77,031.40 is: 106,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,647.40 : 188,549.22 = 77,031.40 : x
  2. Step 2: Convert to fraction form
    136,647.40/188,549.22 = 77,031.40/x
  3. Step 3: Cross multiply
    136,647.40x = 188,549.22 × 77,031.40
  4. Step 4: Simplify right side
    136,647.40x = 14,524,210,385.51
  5. Step 5: Solve for x
    x = 14,524,210,385.51/136,647.40
  6. Step 6: Final answer
    x = 106,289.69

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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.