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Finding the Fourth Proportional to 106,521.60, 159,820.80 and 102,681.60

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Solution

The fourth proportional to 106,521.60, 159,820.80 and 102,681.60 is: 154,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,521.60 : 159,820.80 = 102,681.60 : x
  2. Step 2: Convert to fraction form
    106,521.60/159,820.80 = 102,681.60/x
  3. Step 3: Cross multiply
    106,521.60x = 159,820.80 × 102,681.60
  4. Step 4: Simplify right side
    106,521.60x = 16,410,655,457.28
  5. Step 5: Solve for x
    x = 16,410,655,457.28/106,521.60
  6. Step 6: Final answer
    x = 154,059.42

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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.