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Finding the Fourth Proportional to 30,176.84, 45,206.40 and 19,757

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Solution

The fourth proportional to 30,176.84, 45,206.40 and 19,757 is: 29,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.84 : 45,206.40 = 19,757 : x
  2. Step 2: Convert to fraction form
    30,176.84/45,206.40 = 19,757/x
  3. Step 3: Cross multiply
    30,176.84x = 45,206.40 × 19,757
  4. Step 4: Simplify right side
    30,176.84x = 893,142,844.80
  5. Step 5: Solve for x
    x = 893,142,844.80/30,176.84
  6. Step 6: Final answer
    x = 29,596.96

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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.