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Finding the Fourth Proportional to 70,346.40, 105,503.04 and 20,413.32

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Solution

The fourth proportional to 70,346.40, 105,503.04 and 20,413.32 is: 30,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,346.40 : 105,503.04 = 20,413.32 : x
  2. Step 2: Convert to fraction form
    70,346.40/105,503.04 = 20,413.32/x
  3. Step 3: Cross multiply
    70,346.40x = 105,503.04 × 20,413.32
  4. Step 4: Simplify right side
    70,346.40x = 2,153,667,316.49
  5. Step 5: Solve for x
    x = 2,153,667,316.49/70,346.40
  6. Step 6: Final answer
    x = 30,615.17

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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.