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Finding the Fourth Proportional to 201,681.60, 302,522.40 and 169,204.65

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Solution

The fourth proportional to 201,681.60, 302,522.40 and 169,204.65 is: 253,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,681.60 : 302,522.40 = 169,204.65 : x
  2. Step 2: Convert to fraction form
    201,681.60/302,522.40 = 169,204.65/x
  3. Step 3: Cross multiply
    201,681.60x = 302,522.40 × 169,204.65
  4. Step 4: Simplify right side
    201,681.60x = 51,188,196,809.16
  5. Step 5: Solve for x
    x = 51,188,196,809.16/201,681.60
  6. Step 6: Final answer
    x = 253,806.98

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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.