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Finding the Fourth Proportional to 155,065, 232,681.50 and 120,073

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Solution

The fourth proportional to 155,065, 232,681.50 and 120,073 is: 180,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,065 : 232,681.50 = 120,073 : x
  2. Step 2: Convert to fraction form
    155,065/232,681.50 = 120,073/x
  3. Step 3: Cross multiply
    155,065x = 232,681.50 × 120,073
  4. Step 4: Simplify right side
    155,065x = 27,938,765,749.50
  5. Step 5: Solve for x
    x = 27,938,765,749.50/155,065
  6. Step 6: Final answer
    x = 180,174.54

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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.