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Finding the Fourth Proportional to 144,088, 198,864.48 and 84,472

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Solution

The fourth proportional to 144,088, 198,864.48 and 84,472 is: 116,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,088 : 198,864.48 = 84,472 : x
  2. Step 2: Convert to fraction form
    144,088/198,864.48 = 84,472/x
  3. Step 3: Cross multiply
    144,088x = 198,864.48 × 84,472
  4. Step 4: Simplify right side
    144,088x = 16,798,480,354.56
  5. Step 5: Solve for x
    x = 16,798,480,354.56/144,088
  6. Step 6: Final answer
    x = 116,584.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.