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Finding the Fourth Proportional to 97,850.56, 135,089.76 and 64,413.76

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Solution

The fourth proportional to 97,850.56, 135,089.76 and 64,413.76 is: 88,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,850.56 : 135,089.76 = 64,413.76 : x
  2. Step 2: Convert to fraction form
    97,850.56/135,089.76 = 64,413.76/x
  3. Step 3: Cross multiply
    97,850.56x = 135,089.76 × 64,413.76
  4. Step 4: Simplify right side
    97,850.56x = 8,701,639,379.10
  5. Step 5: Solve for x
    x = 8,701,639,379.10/97,850.56
  6. Step 6: Final answer
    x = 88,927.84

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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.