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Finding the Fourth Proportional to 120,968.94, 181,457.46 and 42,083.94

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Solution

The fourth proportional to 120,968.94, 181,457.46 and 42,083.94 is: 63,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,968.94 : 181,457.46 = 42,083.94 : x
  2. Step 2: Convert to fraction form
    120,968.94/181,457.46 = 42,083.94/x
  3. Step 3: Cross multiply
    120,968.94x = 181,457.46 × 42,083.94
  4. Step 4: Simplify right side
    120,968.94x = 7,636,444,859.19
  5. Step 5: Solve for x
    x = 7,636,444,859.19/120,968.94
  6. Step 6: Final answer
    x = 63,127.32

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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.