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Finding the Fourth Proportional to 210,055.65, 315,081.84 and 52,283.04

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Solution

The fourth proportional to 210,055.65, 315,081.84 and 52,283.04 is: 78,424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,055.65 : 315,081.84 = 52,283.04 : x
  2. Step 2: Convert to fraction form
    210,055.65/315,081.84 = 52,283.04/x
  3. Step 3: Cross multiply
    210,055.65x = 315,081.84 × 52,283.04
  4. Step 4: Simplify right side
    210,055.65x = 16,473,436,443.99
  5. Step 5: Solve for x
    x = 16,473,436,443.99/210,055.65
  6. Step 6: Final answer
    x = 78,424.15

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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.