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Finding the Fourth Proportional to 219,021.40, 328,532.10 and 114,045.40

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Solution

The fourth proportional to 219,021.40, 328,532.10 and 114,045.40 is: 171,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,021.40 : 328,532.10 = 114,045.40 : x
  2. Step 2: Convert to fraction form
    219,021.40/328,532.10 = 114,045.40/x
  3. Step 3: Cross multiply
    219,021.40x = 328,532.10 × 114,045.40
  4. Step 4: Simplify right side
    219,021.40x = 37,467,574,757.34
  5. Step 5: Solve for x
    x = 37,467,574,757.34/219,021.40
  6. Step 6: Final answer
    x = 171,068.10

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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.