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Finding the Fourth Proportional to 199,740.84, 299,612.08 and 49,980.72

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Solution

The fourth proportional to 199,740.84, 299,612.08 and 49,980.72 is: 74,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,740.84 : 299,612.08 = 49,980.72 : x
  2. Step 2: Convert to fraction form
    199,740.84/299,612.08 = 49,980.72/x
  3. Step 3: Cross multiply
    199,740.84x = 299,612.08 × 49,980.72
  4. Step 4: Simplify right side
    199,740.84x = 14,974,827,479.10
  5. Step 5: Solve for x
    x = 14,974,827,479.10/199,740.84
  6. Step 6: Final answer
    x = 74,971.29

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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.