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Finding the Fourth Proportional to 103,341.72, 155,013.41 and 28,466

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Solution

The fourth proportional to 103,341.72, 155,013.41 and 28,466 is: 42,699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,341.72 : 155,013.41 = 28,466 : x
  2. Step 2: Convert to fraction form
    103,341.72/155,013.41 = 28,466/x
  3. Step 3: Cross multiply
    103,341.72x = 155,013.41 × 28,466
  4. Step 4: Simplify right side
    103,341.72x = 4,412,611,729.06
  5. Step 5: Solve for x
    x = 4,412,611,729.06/103,341.72
  6. Step 6: Final answer
    x = 42,699.23

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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.