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Finding the Fourth Proportional to 242,837.60, 364,256.40 and 76,625.60

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Solution

The fourth proportional to 242,837.60, 364,256.40 and 76,625.60 is: 114,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,837.60 : 364,256.40 = 76,625.60 : x
  2. Step 2: Convert to fraction form
    242,837.60/364,256.40 = 76,625.60/x
  3. Step 3: Cross multiply
    242,837.60x = 364,256.40 × 76,625.60
  4. Step 4: Simplify right side
    242,837.60x = 27,911,365,203.84
  5. Step 5: Solve for x
    x = 27,911,365,203.84/242,837.60
  6. Step 6: Final answer
    x = 114,938.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.