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Finding the Fourth Proportional to 142,503.12, 196,647.12 and 77,970.96

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Solution

The fourth proportional to 142,503.12, 196,647.12 and 77,970.96 is: 107,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,503.12 : 196,647.12 = 77,970.96 : x
  2. Step 2: Convert to fraction form
    142,503.12/196,647.12 = 77,970.96/x
  3. Step 3: Cross multiply
    142,503.12x = 196,647.12 × 77,970.96
  4. Step 4: Simplify right side
    142,503.12x = 15,332,764,727.64
  5. Step 5: Solve for x
    x = 15,332,764,727.64/142,503.12
  6. Step 6: Final answer
    x = 107,595.99

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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.