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Finding the Fourth Proportional to 100,413.81, 138,467.68 and 70,188.05

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Solution

The fourth proportional to 100,413.81, 138,467.68 and 70,188.05 is: 96,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,413.81 : 138,467.68 = 70,188.05 : x
  2. Step 2: Convert to fraction form
    100,413.81/138,467.68 = 70,188.05/x
  3. Step 3: Cross multiply
    100,413.81x = 138,467.68 × 70,188.05
  4. Step 4: Simplify right side
    100,413.81x = 9,718,776,617.92
  5. Step 5: Solve for x
    x = 9,718,776,617.92/100,413.81
  6. Step 6: Final answer
    x = 96,787.25

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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.