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Finding the Fourth Proportional to 201,639.96, 302,646.76 and 101,870.46

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Solution

The fourth proportional to 201,639.96, 302,646.76 and 101,870.46 is: 152,900.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,639.96 : 302,646.76 = 101,870.46 : x
  2. Step 2: Convert to fraction form
    201,639.96/302,646.76 = 101,870.46/x
  3. Step 3: Cross multiply
    201,639.96x = 302,646.76 × 101,870.46
  4. Step 4: Simplify right side
    201,639.96x = 30,830,764,404.03
  5. Step 5: Solve for x
    x = 30,830,764,404.03/201,639.96
  6. Step 6: Final answer
    x = 152,900.07

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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.