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Finding the Fourth Proportional to 135,875, 203,835.54 and 42,362.12

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Solution

The fourth proportional to 135,875, 203,835.54 and 42,362.12 is: 63,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,875 : 203,835.54 = 42,362.12 : x
  2. Step 2: Convert to fraction form
    135,875/203,835.54 = 42,362.12/x
  3. Step 3: Cross multiply
    135,875x = 203,835.54 × 42,362.12
  4. Step 4: Simplify right side
    135,875x = 8,634,905,605.74
  5. Step 5: Solve for x
    x = 8,634,905,605.74/135,875
  6. Step 6: Final answer
    x = 63,550.36

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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.