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Finding the Fourth Proportional to 144,598.66, 217,038 and 69,771.40

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Solution

The fourth proportional to 144,598.66, 217,038 and 69,771.40 is: 104,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,598.66 : 217,038 = 69,771.40 : x
  2. Step 2: Convert to fraction form
    144,598.66/217,038 = 69,771.40/x
  3. Step 3: Cross multiply
    144,598.66x = 217,038 × 69,771.40
  4. Step 4: Simplify right side
    144,598.66x = 15,143,045,113.20
  5. Step 5: Solve for x
    x = 15,143,045,113.20/144,598.66
  6. Step 6: Final answer
    x = 104,724.66

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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.