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Finding the Fourth Proportional to 84,210.87, 126,315.84 and 21,030.87

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Solution

The fourth proportional to 84,210.87, 126,315.84 and 21,030.87 is: 31,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,210.87 : 126,315.84 = 21,030.87 : x
  2. Step 2: Convert to fraction form
    84,210.87/126,315.84 = 21,030.87/x
  3. Step 3: Cross multiply
    84,210.87x = 126,315.84 × 21,030.87
  4. Step 4: Simplify right side
    84,210.87x = 2,656,532,009.98
  5. Step 5: Solve for x
    x = 2,656,532,009.98/84,210.87
  6. Step 6: Final answer
    x = 31,546.19

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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.