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Finding the Fourth Proportional to 121,307.84, 181,961.76 and 47,384

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Solution

The fourth proportional to 121,307.84, 181,961.76 and 47,384 is: 71,076

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,307.84 : 181,961.76 = 47,384 : x
  2. Step 2: Convert to fraction form
    121,307.84/181,961.76 = 47,384/x
  3. Step 3: Cross multiply
    121,307.84x = 181,961.76 × 47,384
  4. Step 4: Simplify right side
    121,307.84x = 8,622,076,035.84
  5. Step 5: Solve for x
    x = 8,622,076,035.84/121,307.84
  6. Step 6: Final answer
    x = 71,076

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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.