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Finding the Fourth Proportional to 119,078, 178,563.48 and 85,658

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Solution

The fourth proportional to 119,078, 178,563.48 and 85,658 is: 128,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,078 : 178,563.48 = 85,658 : x
  2. Step 2: Convert to fraction form
    119,078/178,563.48 = 85,658/x
  3. Step 3: Cross multiply
    119,078x = 178,563.48 × 85,658
  4. Step 4: Simplify right side
    119,078x = 15,295,390,569.84
  5. Step 5: Solve for x
    x = 15,295,390,569.84/119,078
  6. Step 6: Final answer
    x = 128,448.50

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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.