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Finding the Fourth Proportional to 242,040, 334,015.20 and 136,056

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Solution

The fourth proportional to 242,040, 334,015.20 and 136,056 is: 187,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,040 : 334,015.20 = 136,056 : x
  2. Step 2: Convert to fraction form
    242,040/334,015.20 = 136,056/x
  3. Step 3: Cross multiply
    242,040x = 334,015.20 × 136,056
  4. Step 4: Simplify right side
    242,040x = 45,444,772,051.20
  5. Step 5: Solve for x
    x = 45,444,772,051.20/242,040
  6. Step 6: Final answer
    x = 187,757.28

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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.