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Finding the Fourth Proportional to 106,471.15, 159,817.47 and 78,422.86

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Solution

The fourth proportional to 106,471.15, 159,817.47 and 78,422.86 is: 117,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,471.15 : 159,817.47 = 78,422.86 : x
  2. Step 2: Convert to fraction form
    106,471.15/159,817.47 = 78,422.86/x
  3. Step 3: Cross multiply
    106,471.15x = 159,817.47 × 78,422.86
  4. Step 4: Simplify right side
    106,471.15x = 12,533,343,075.36
  5. Step 5: Solve for x
    x = 12,533,343,075.36/106,471.15
  6. Step 6: Final answer
    x = 117,715.86

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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.