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Finding the Fourth Proportional to 145,185.78, 217,740.60 and 65,179

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Solution

The fourth proportional to 145,185.78, 217,740.60 and 65,179 is: 97,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,185.78 : 217,740.60 = 65,179 : x
  2. Step 2: Convert to fraction form
    145,185.78/217,740.60 = 65,179/x
  3. Step 3: Cross multiply
    145,185.78x = 217,740.60 × 65,179
  4. Step 4: Simplify right side
    145,185.78x = 14,192,114,567.40
  5. Step 5: Solve for x
    x = 14,192,114,567.40/145,185.78
  6. Step 6: Final answer
    x = 97,751.41

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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.