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Finding the Fourth Proportional to 135,296.19, 186,728.55 and 77,924.48

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Solution

The fourth proportional to 135,296.19, 186,728.55 and 77,924.48 is: 107,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,296.19 : 186,728.55 = 77,924.48 : x
  2. Step 2: Convert to fraction form
    135,296.19/186,728.55 = 77,924.48/x
  3. Step 3: Cross multiply
    135,296.19x = 186,728.55 × 77,924.48
  4. Step 4: Simplify right side
    135,296.19x = 14,550,725,039.18
  5. Step 5: Solve for x
    x = 14,550,725,039.18/135,296.19
  6. Step 6: Final answer
    x = 107,547.19

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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.