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Finding the Fourth Proportional to 137,620, 189,915.60 and 78,004

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Solution

The fourth proportional to 137,620, 189,915.60 and 78,004 is: 107,645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,620 : 189,915.60 = 78,004 : x
  2. Step 2: Convert to fraction form
    137,620/189,915.60 = 78,004/x
  3. Step 3: Cross multiply
    137,620x = 189,915.60 × 78,004
  4. Step 4: Simplify right side
    137,620x = 14,814,176,462.40
  5. Step 5: Solve for x
    x = 14,814,176,462.40/137,620
  6. Step 6: Final answer
    x = 107,645.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.