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Finding the Fourth Proportional to 70,328.20, 105,484.20 and 17,738.16

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Solution

The fourth proportional to 70,328.20, 105,484.20 and 17,738.16 is: 26,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,328.20 : 105,484.20 = 17,738.16 : x
  2. Step 2: Convert to fraction form
    70,328.20/105,484.20 = 17,738.16/x
  3. Step 3: Cross multiply
    70,328.20x = 105,484.20 × 17,738.16
  4. Step 4: Simplify right side
    70,328.20x = 1,871,095,617.07
  5. Step 5: Solve for x
    x = 1,871,095,617.07/70,328.20
  6. Step 6: Final answer
    x = 26,605.20

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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.