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Finding the Fourth Proportional to 98,424, 135,825.84 and 53,712

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Solution

The fourth proportional to 98,424, 135,825.84 and 53,712 is: 74,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,424 : 135,825.84 = 53,712 : x
  2. Step 2: Convert to fraction form
    98,424/135,825.84 = 53,712/x
  3. Step 3: Cross multiply
    98,424x = 135,825.84 × 53,712
  4. Step 4: Simplify right side
    98,424x = 7,295,477,518.08
  5. Step 5: Solve for x
    x = 7,295,477,518.08/98,424
  6. Step 6: Final answer
    x = 74,122.95

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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.