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Finding the Fourth Proportional to 98,126, 135,413.88 and 53,414

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Solution

The fourth proportional to 98,126, 135,413.88 and 53,414 is: 73,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,126 : 135,413.88 = 53,414 : x
  2. Step 2: Convert to fraction form
    98,126/135,413.88 = 53,414/x
  3. Step 3: Cross multiply
    98,126x = 135,413.88 × 53,414
  4. Step 4: Simplify right side
    98,126x = 7,232,996,986.32
  5. Step 5: Solve for x
    x = 7,232,996,986.32/98,126
  6. Step 6: Final answer
    x = 73,711.32

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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.