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Finding the Fourth Proportional to 216,978.84, 299,366.02 and 140,376.60

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Solution

The fourth proportional to 216,978.84, 299,366.02 and 140,376.60 is: 193,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,978.84 : 299,366.02 = 140,376.60 : x
  2. Step 2: Convert to fraction form
    216,978.84/299,366.02 = 140,376.60/x
  3. Step 3: Cross multiply
    216,978.84x = 299,366.02 × 140,376.60
  4. Step 4: Simplify right side
    216,978.84x = 42,023,984,043.13
  5. Step 5: Solve for x
    x = 42,023,984,043.13/216,978.84
  6. Step 6: Final answer
    x = 193,677.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.