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Finding the Fourth Proportional to 145,363.68, 217,890 and 75,172.32

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Solution

The fourth proportional to 145,363.68, 217,890 and 75,172.32 is: 112,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,363.68 : 217,890 = 75,172.32 : x
  2. Step 2: Convert to fraction form
    145,363.68/217,890 = 75,172.32/x
  3. Step 3: Cross multiply
    145,363.68x = 217,890 × 75,172.32
  4. Step 4: Simplify right side
    145,363.68x = 16,379,296,804.80
  5. Step 5: Solve for x
    x = 16,379,296,804.80/145,363.68
  6. Step 6: Final answer
    x = 112,678.06

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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.