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Finding the Fourth Proportional to 210,700.71, 316,051.34 and 86,041.71

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Solution

The fourth proportional to 210,700.71, 316,051.34 and 86,041.71 is: 129,062.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,700.71 : 316,051.34 = 86,041.71 : x
  2. Step 2: Convert to fraction form
    210,700.71/316,051.34 = 86,041.71/x
  3. Step 3: Cross multiply
    210,700.71x = 316,051.34 × 86,041.71
  4. Step 4: Simplify right side
    210,700.71x = 27,193,597,311.18
  5. Step 5: Solve for x
    x = 27,193,597,311.18/210,700.71
  6. Step 6: Final answer
    x = 129,062.68

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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.