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Finding the Fourth Proportional to 145,867.20, 218,363.40 and 137,216.40

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Solution

The fourth proportional to 145,867.20, 218,363.40 and 137,216.40 is: 205,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,867.20 : 218,363.40 = 137,216.40 : x
  2. Step 2: Convert to fraction form
    145,867.20/218,363.40 = 137,216.40/x
  3. Step 3: Cross multiply
    145,867.20x = 218,363.40 × 137,216.40
  4. Step 4: Simplify right side
    145,867.20x = 29,963,039,639.76
  5. Step 5: Solve for x
    x = 29,963,039,639.76/145,867.20
  6. Step 6: Final answer
    x = 205,413.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.