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Finding the Fourth Proportional to 145,138.56, 217,715.94 and 45,312.54

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Solution

The fourth proportional to 145,138.56, 217,715.94 and 45,312.54 is: 67,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,138.56 : 217,715.94 = 45,312.54 : x
  2. Step 2: Convert to fraction form
    145,138.56/217,715.94 = 45,312.54/x
  3. Step 3: Cross multiply
    145,138.56x = 217,715.94 × 45,312.54
  4. Step 4: Simplify right side
    145,138.56x = 9,865,262,239.89
  5. Step 5: Solve for x
    x = 9,865,262,239.89/145,138.56
  6. Step 6: Final answer
    x = 67,971.34

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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.