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Finding the Fourth Proportional to 120,968.69, 181,482.80 and 42,083.60

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Solution

The fourth proportional to 120,968.69, 181,482.80 and 42,083.60 is: 63,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,968.69 : 181,482.80 = 42,083.60 : x
  2. Step 2: Convert to fraction form
    120,968.69/181,482.80 = 42,083.60/x
  3. Step 3: Cross multiply
    120,968.69x = 181,482.80 × 42,083.60
  4. Step 4: Simplify right side
    120,968.69x = 7,637,448,444.25
  5. Step 5: Solve for x
    x = 7,637,448,444.25/120,968.69
  6. Step 6: Final answer
    x = 63,135.75

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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.