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Finding the Fourth Proportional to 210,210, 290,095.92 and 114,722.80

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Solution

The fourth proportional to 210,210, 290,095.92 and 114,722.80 is: 158,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,210 : 290,095.92 = 114,722.80 : x
  2. Step 2: Convert to fraction form
    210,210/290,095.92 = 114,722.80/x
  3. Step 3: Cross multiply
    210,210x = 290,095.92 × 114,722.80
  4. Step 4: Simplify right side
    210,210x = 33,280,616,210.98
  5. Step 5: Solve for x
    x = 33,280,616,210.98/210,210
  6. Step 6: Final answer
    x = 158,320.80

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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.