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Finding the Fourth Proportional to 122,509.32, 183,647.32 and 39,345

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Solution

The fourth proportional to 122,509.32, 183,647.32 and 39,345 is: 58,980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,509.32 : 183,647.32 = 39,345 : x
  2. Step 2: Convert to fraction form
    122,509.32/183,647.32 = 39,345/x
  3. Step 3: Cross multiply
    122,509.32x = 183,647.32 × 39,345
  4. Step 4: Simplify right side
    122,509.32x = 7,225,603,805.40
  5. Step 5: Solve for x
    x = 7,225,603,805.40/122,509.32
  6. Step 6: Final answer
    x = 58,980.03

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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.