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Finding the Fourth Proportional to 201,900.40, 302,510.40 and 159,618.40

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Solution

The fourth proportional to 201,900.40, 302,510.40 and 159,618.40 is: 239,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,900.40 : 302,510.40 = 159,618.40 : x
  2. Step 2: Convert to fraction form
    201,900.40/302,510.40 = 159,618.40/x
  3. Step 3: Cross multiply
    201,900.40x = 302,510.40 × 159,618.40
  4. Step 4: Simplify right side
    201,900.40x = 48,286,226,031.36
  5. Step 5: Solve for x
    x = 48,286,226,031.36/201,900.40
  6. Step 6: Final answer
    x = 239,158.64

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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.