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Finding the Fourth Proportional to 242,840.25, 335,119.55 and 142,238.25

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Solution

The fourth proportional to 242,840.25, 335,119.55 and 142,238.25 is: 196,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,840.25 : 335,119.55 = 142,238.25 : x
  2. Step 2: Convert to fraction form
    242,840.25/335,119.55 = 142,238.25/x
  3. Step 3: Cross multiply
    242,840.25x = 335,119.55 × 142,238.25
  4. Step 4: Simplify right side
    242,840.25x = 47,666,817,621.60
  5. Step 5: Solve for x
    x = 47,666,817,621.60/242,840.25
  6. Step 6: Final answer
    x = 196,288.79

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1.5x scale

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.