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Finding the Fourth Proportional to 105,038.08, 157,511.04 and 39,328

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Solution

The fourth proportional to 105,038.08, 157,511.04 and 39,328 is: 58,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,038.08 : 157,511.04 = 39,328 : x
  2. Step 2: Convert to fraction form
    105,038.08/157,511.04 = 39,328/x
  3. Step 3: Cross multiply
    105,038.08x = 157,511.04 × 39,328
  4. Step 4: Simplify right side
    105,038.08x = 6,194,594,181.12
  5. Step 5: Solve for x
    x = 6,194,594,181.12/105,038.08
  6. Step 6: Final answer
    x = 58,974.75

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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.