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Finding the Fourth Proportional to 210,817.80, 316,226.70 and 105,841.80

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Solution

The fourth proportional to 210,817.80, 316,226.70 and 105,841.80 is: 158,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,817.80 : 316,226.70 = 105,841.80 : x
  2. Step 2: Convert to fraction form
    210,817.80/316,226.70 = 105,841.80/x
  3. Step 3: Cross multiply
    210,817.80x = 316,226.70 × 105,841.80
  4. Step 4: Simplify right side
    210,817.80x = 33,470,003,136.06
  5. Step 5: Solve for x
    x = 33,470,003,136.06/210,817.80
  6. Step 6: Final answer
    x = 158,762.70

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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.