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Finding the Fourth Proportional to 98,125.50, 135,413.19 and 53,413.50

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Solution

The fourth proportional to 98,125.50, 135,413.19 and 53,413.50 is: 73,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,125.50 : 135,413.19 = 53,413.50 : x
  2. Step 2: Convert to fraction form
    98,125.50/135,413.19 = 53,413.50/x
  3. Step 3: Cross multiply
    98,125.50x = 135,413.19 × 53,413.50
  4. Step 4: Simplify right side
    98,125.50x = 7,232,892,424.07
  5. Step 5: Solve for x
    x = 7,232,892,424.07/98,125.50
  6. Step 6: Final answer
    x = 73,710.63

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1.5x scale

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.