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Finding the Fourth Proportional to 98,590, 136,054.20 and 53,878

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Solution

The fourth proportional to 98,590, 136,054.20 and 53,878 is: 74,351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,590 : 136,054.20 = 53,878 : x
  2. Step 2: Convert to fraction form
    98,590/136,054.20 = 53,878/x
  3. Step 3: Cross multiply
    98,590x = 136,054.20 × 53,878
  4. Step 4: Simplify right side
    98,590x = 7,330,328,187.60
  5. Step 5: Solve for x
    x = 7,330,328,187.60/98,590
  6. Step 6: Final answer
    x = 74,351.64

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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.