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Finding the Fourth Proportional to 242,598, 334,791.72 and 135,172.56

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Solution

The fourth proportional to 242,598, 334,791.72 and 135,172.56 is: 186,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,598 : 334,791.72 = 135,172.56 : x
  2. Step 2: Convert to fraction form
    242,598/334,791.72 = 135,172.56/x
  3. Step 3: Cross multiply
    242,598x = 334,791.72 × 135,172.56
  4. Step 4: Simplify right side
    242,598x = 45,254,653,859.20
  5. Step 5: Solve for x
    x = 45,254,653,859.20/242,598
  6. Step 6: Final answer
    x = 186,541.74

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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.