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Finding the Fourth Proportional to 210,823.80, 316,235.70 and 105,847.80

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Solution

The fourth proportional to 210,823.80, 316,235.70 and 105,847.80 is: 158,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,823.80 : 316,235.70 = 105,847.80 : x
  2. Step 2: Convert to fraction form
    210,823.80/316,235.70 = 105,847.80/x
  3. Step 3: Cross multiply
    210,823.80x = 316,235.70 × 105,847.80
  4. Step 4: Simplify right side
    210,823.80x = 33,472,853,126.46
  5. Step 5: Solve for x
    x = 33,472,853,126.46/210,823.80
  6. Step 6: Final answer
    x = 158,771.70

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1.5x scale

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.