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Finding the Fourth Proportional to 138,143.72, 190,649.40 and 77,710.76

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Solution

The fourth proportional to 138,143.72, 190,649.40 and 77,710.76 is: 107,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,143.72 : 190,649.40 = 77,710.76 : x
  2. Step 2: Convert to fraction form
    138,143.72/190,649.40 = 77,710.76/x
  3. Step 3: Cross multiply
    138,143.72x = 190,649.40 × 77,710.76
  4. Step 4: Simplify right side
    138,143.72x = 14,815,509,767.54
  5. Step 5: Solve for x
    x = 14,815,509,767.54/138,143.72
  6. Step 6: Final answer
    x = 107,247.07

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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.