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Finding the Fourth Proportional to 121,311.84, 181,967.76 and 47,388

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Solution

The fourth proportional to 121,311.84, 181,967.76 and 47,388 is: 71,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,311.84 : 181,967.76 = 47,388 : x
  2. Step 2: Convert to fraction form
    121,311.84/181,967.76 = 47,388/x
  3. Step 3: Cross multiply
    121,311.84x = 181,967.76 × 47,388
  4. Step 4: Simplify right side
    121,311.84x = 8,623,088,210.88
  5. Step 5: Solve for x
    x = 8,623,088,210.88/121,311.84
  6. Step 6: Final answer
    x = 71,082.00

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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.