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Finding the Fourth Proportional to 122,139.68, 183,235.62 and 37,898

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Solution

The fourth proportional to 122,139.68, 183,235.62 and 37,898 is: 56,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,139.68 : 183,235.62 = 37,898 : x
  2. Step 2: Convert to fraction form
    122,139.68/183,235.62 = 37,898/x
  3. Step 3: Cross multiply
    122,139.68x = 183,235.62 × 37,898
  4. Step 4: Simplify right side
    122,139.68x = 6,944,263,526.76
  5. Step 5: Solve for x
    x = 6,944,263,526.76/122,139.68
  6. Step 6: Final answer
    x = 56,855.10

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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.