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Finding the Fourth Proportional to 99,160, 136,840.80 and 54,448

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Solution

The fourth proportional to 99,160, 136,840.80 and 54,448 is: 75,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,160 : 136,840.80 = 54,448 : x
  2. Step 2: Convert to fraction form
    99,160/136,840.80 = 54,448/x
  3. Step 3: Cross multiply
    99,160x = 136,840.80 × 54,448
  4. Step 4: Simplify right side
    99,160x = 7,450,707,878.40
  5. Step 5: Solve for x
    x = 7,450,707,878.40/99,160
  6. Step 6: Final answer
    x = 75,138.24

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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.