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Finding the Fourth Proportional to 340,025.78, 510,020.21 and 103,350

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Solution

The fourth proportional to 340,025.78, 510,020.21 and 103,350 is: 155,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,025.78 : 510,020.21 = 103,350 : x
  2. Step 2: Convert to fraction form
    340,025.78/510,020.21 = 103,350/x
  3. Step 3: Cross multiply
    340,025.78x = 510,020.21 × 103,350
  4. Step 4: Simplify right side
    340,025.78x = 52,710,588,186.75
  5. Step 5: Solve for x
    x = 52,710,588,186.75/340,025.78
  6. Step 6: Final answer
    x = 155,019.39

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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.