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Finding the Fourth Proportional to 158,138, 237,054.75 and 58,243.71

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Solution

The fourth proportional to 158,138, 237,054.75 and 58,243.71 is: 87,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,138 : 237,054.75 = 58,243.71 : x
  2. Step 2: Convert to fraction form
    158,138/237,054.75 = 58,243.71/x
  3. Step 3: Cross multiply
    158,138x = 237,054.75 × 58,243.71
  4. Step 4: Simplify right side
    158,138x = 13,806,948,113.12
  5. Step 5: Solve for x
    x = 13,806,948,113.12/158,138
  6. Step 6: Final answer
    x = 87,309.49

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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.