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Finding the Fourth Proportional to 142,100.50, 196,106.78 and 84,724.55

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Solution

The fourth proportional to 142,100.50, 196,106.78 and 84,724.55 is: 116,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,100.50 : 196,106.78 = 84,724.55 : x
  2. Step 2: Convert to fraction form
    142,100.50/196,106.78 = 84,724.55/x
  3. Step 3: Cross multiply
    142,100.50x = 196,106.78 × 84,724.55
  4. Step 4: Simplify right side
    142,100.50x = 16,615,058,263.83
  5. Step 5: Solve for x
    x = 16,615,058,263.83/142,100.50
  6. Step 6: Final answer
    x = 116,924.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.