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Finding the Fourth Proportional to 210,847.80, 316,271.70 and 86,278.20

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Solution

The fourth proportional to 210,847.80, 316,271.70 and 86,278.20 is: 129,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,847.80 : 316,271.70 = 86,278.20 : x
  2. Step 2: Convert to fraction form
    210,847.80/316,271.70 = 86,278.20/x
  3. Step 3: Cross multiply
    210,847.80x = 316,271.70 × 86,278.20
  4. Step 4: Simplify right side
    210,847.80x = 27,287,352,986.94
  5. Step 5: Solve for x
    x = 27,287,352,986.94/210,847.80
  6. Step 6: Final answer
    x = 129,417.30

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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.