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Finding the Fourth Proportional to 239,109, 329,970.42 and 133,125

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Solution

The fourth proportional to 239,109, 329,970.42 and 133,125 is: 183,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,109 : 329,970.42 = 133,125 : x
  2. Step 2: Convert to fraction form
    239,109/329,970.42 = 133,125/x
  3. Step 3: Cross multiply
    239,109x = 329,970.42 × 133,125
  4. Step 4: Simplify right side
    239,109x = 43,927,312,162.50
  5. Step 5: Solve for x
    x = 43,927,312,162.50/239,109
  6. Step 6: Final answer
    x = 183,712.50

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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.