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Finding the Fourth Proportional to 98,156.72, 135,413.16 and 66,314

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Solution

The fourth proportional to 98,156.72, 135,413.16 and 66,314 is: 91,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,156.72 : 135,413.16 = 66,314 : x
  2. Step 2: Convert to fraction form
    98,156.72/135,413.16 = 66,314/x
  3. Step 3: Cross multiply
    98,156.72x = 135,413.16 × 66,314
  4. Step 4: Simplify right side
    98,156.72x = 8,979,788,292.24
  5. Step 5: Solve for x
    x = 8,979,788,292.24/98,156.72
  6. Step 6: Final answer
    x = 91,484.19

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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.