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Finding the Fourth Proportional to 103,887.50, 155,857.17 and 30,015.50

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Solution

The fourth proportional to 103,887.50, 155,857.17 and 30,015.50 is: 45,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,887.50 : 155,857.17 = 30,015.50 : x
  2. Step 2: Convert to fraction form
    103,887.50/155,857.17 = 30,015.50/x
  3. Step 3: Cross multiply
    103,887.50x = 155,857.17 × 30,015.50
  4. Step 4: Simplify right side
    103,887.50x = 4,678,130,886.14
  5. Step 5: Solve for x
    x = 4,678,130,886.14/103,887.50
  6. Step 6: Final answer
    x = 45,030.74

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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.