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Finding the Fourth Proportional to 138,388.71, 190,975.54 and 77,978.81

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Solution

The fourth proportional to 138,388.71, 190,975.54 and 77,978.81 is: 107,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,388.71 : 190,975.54 = 77,978.81 : x
  2. Step 2: Convert to fraction form
    138,388.71/190,975.54 = 77,978.81/x
  3. Step 3: Cross multiply
    138,388.71x = 190,975.54 × 77,978.81
  4. Step 4: Simplify right side
    138,388.71x = 14,892,044,702.77
  5. Step 5: Solve for x
    x = 14,892,044,702.77/138,388.71
  6. Step 6: Final answer
    x = 107,610.26

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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.