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Finding the Fourth Proportional to 155,064, 232,680 and 120,072

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Solution

The fourth proportional to 155,064, 232,680 and 120,072 is: 180,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,064 : 232,680 = 120,072 : x
  2. Step 2: Convert to fraction form
    155,064/232,680 = 120,072/x
  3. Step 3: Cross multiply
    155,064x = 232,680 × 120,072
  4. Step 4: Simplify right side
    155,064x = 27,938,352,960
  5. Step 5: Solve for x
    x = 27,938,352,960/155,064
  6. Step 6: Final answer
    x = 180,173.04

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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.