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Finding the Fourth Proportional to 235,055.84, 324,344.40 and 138,264.08

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Solution

The fourth proportional to 235,055.84, 324,344.40 and 138,264.08 is: 190,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,055.84 : 324,344.40 = 138,264.08 : x
  2. Step 2: Convert to fraction form
    235,055.84/324,344.40 = 138,264.08/x
  3. Step 3: Cross multiply
    235,055.84x = 324,344.40 × 138,264.08
  4. Step 4: Simplify right side
    235,055.84x = 44,845,180,069.15
  5. Step 5: Solve for x
    x = 44,845,180,069.15/235,055.84
  6. Step 6: Final answer
    x = 190,785.22

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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.