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Finding the Fourth Proportional to 115,316.50, 159,054.21 and 74,954.98

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Solution

The fourth proportional to 115,316.50, 159,054.21 and 74,954.98 is: 103,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,316.50 : 159,054.21 = 74,954.98 : x
  2. Step 2: Convert to fraction form
    115,316.50/159,054.21 = 74,954.98/x
  3. Step 3: Cross multiply
    115,316.50x = 159,054.21 × 74,954.98
  4. Step 4: Simplify right side
    115,316.50x = 11,921,905,129.47
  5. Step 5: Solve for x
    x = 11,921,905,129.47/115,316.50
  6. Step 6: Final answer
    x = 103,384.21

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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.