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Finding the Fourth Proportional to 138,051.78, 190,509.36 and 77,622.54

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Solution

The fourth proportional to 138,051.78, 190,509.36 and 77,622.54 is: 107,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,051.78 : 190,509.36 = 77,622.54 : x
  2. Step 2: Convert to fraction form
    138,051.78/190,509.36 = 77,622.54/x
  3. Step 3: Cross multiply
    138,051.78x = 190,509.36 × 77,622.54
  4. Step 4: Simplify right side
    138,051.78x = 14,787,820,416.97
  5. Step 5: Solve for x
    x = 14,787,820,416.97/138,051.78
  6. Step 6: Final answer
    x = 107,117.93

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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.