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Finding the Fourth Proportional to 144,784.80, 217,018.80 and 51,242.40

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Solution

The fourth proportional to 144,784.80, 217,018.80 and 51,242.40 is: 76,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,784.80 : 217,018.80 = 51,242.40 : x
  2. Step 2: Convert to fraction form
    144,784.80/217,018.80 = 51,242.40/x
  3. Step 3: Cross multiply
    144,784.80x = 217,018.80 × 51,242.40
  4. Step 4: Simplify right side
    144,784.80x = 11,120,564,157.12
  5. Step 5: Solve for x
    x = 11,120,564,157.12/144,784.80
  6. Step 6: Final answer
    x = 76,807.54

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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.