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Finding the Fourth Proportional to 122,389.78, 183,543.09 and 42,409.08

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Solution

The fourth proportional to 122,389.78, 183,543.09 and 42,409.08 is: 63,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,389.78 : 183,543.09 = 42,409.08 : x
  2. Step 2: Convert to fraction form
    122,389.78/183,543.09 = 42,409.08/x
  3. Step 3: Cross multiply
    122,389.78x = 183,543.09 × 42,409.08
  4. Step 4: Simplify right side
    122,389.78x = 7,783,893,805.61
  5. Step 5: Solve for x
    x = 7,783,893,805.61/122,389.78
  6. Step 6: Final answer
    x = 63,599.21

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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.