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Finding the Fourth Proportional to 234,970.50, 324,526.59 and 159,387.78

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Solution

The fourth proportional to 234,970.50, 324,526.59 and 159,387.78 is: 220,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,970.50 : 324,526.59 = 159,387.78 : x
  2. Step 2: Convert to fraction form
    234,970.50/324,526.59 = 159,387.78/x
  3. Step 3: Cross multiply
    234,970.50x = 324,526.59 × 159,387.78
  4. Step 4: Simplify right side
    234,970.50x = 51,725,572,731.07
  5. Step 5: Solve for x
    x = 51,725,572,731.07/234,970.50
  6. Step 6: Final answer
    x = 220,136.45

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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.