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Finding the Fourth Proportional to 138,251.52, 190,802.40 and 77,823.84

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Solution

The fourth proportional to 138,251.52, 190,802.40 and 77,823.84 is: 107,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,251.52 : 190,802.40 = 77,823.84 : x
  2. Step 2: Convert to fraction form
    138,251.52/190,802.40 = 77,823.84/x
  3. Step 3: Cross multiply
    138,251.52x = 190,802.40 × 77,823.84
  4. Step 4: Simplify right side
    138,251.52x = 14,848,975,449.22
  5. Step 5: Solve for x
    x = 14,848,975,449.22/138,251.52
  6. Step 6: Final answer
    x = 107,405.51

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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.