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Finding the Fourth Proportional to 142,653.50, 196,913.68 and 83,037.50

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Solution

The fourth proportional to 142,653.50, 196,913.68 and 83,037.50 is: 114,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,653.50 : 196,913.68 = 83,037.50 : x
  2. Step 2: Convert to fraction form
    142,653.50/196,913.68 = 83,037.50/x
  3. Step 3: Cross multiply
    142,653.50x = 196,913.68 × 83,037.50
  4. Step 4: Simplify right side
    142,653.50x = 16,351,219,703
  5. Step 5: Solve for x
    x = 16,351,219,703/142,653.50
  6. Step 6: Final answer
    x = 114,621.93

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1.5x scale

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.