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Finding the Fourth Proportional to 210,973.30, 316,461.27 and 86,314.30

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Solution

The fourth proportional to 210,973.30, 316,461.27 and 86,314.30 is: 129,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,973.30 : 316,461.27 = 86,314.30 : x
  2. Step 2: Convert to fraction form
    210,973.30/316,461.27 = 86,314.30/x
  3. Step 3: Cross multiply
    210,973.30x = 316,461.27 × 86,314.30
  4. Step 4: Simplify right side
    210,973.30x = 27,315,132,997.16
  5. Step 5: Solve for x
    x = 27,315,132,997.16/210,973.30
  6. Step 6: Final answer
    x = 129,471.99

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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.