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Finding the Fourth Proportional to 105,655.20, 158,569.20 and 102,199.20

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Solution

The fourth proportional to 105,655.20, 158,569.20 and 102,199.20 is: 153,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,655.20 : 158,569.20 = 102,199.20 : x
  2. Step 2: Convert to fraction form
    105,655.20/158,569.20 = 102,199.20/x
  3. Step 3: Cross multiply
    105,655.20x = 158,569.20 × 102,199.20
  4. Step 4: Simplify right side
    105,655.20x = 16,205,645,384.64
  5. Step 5: Solve for x
    x = 16,205,645,384.64/105,655.20
  6. Step 6: Final answer
    x = 153,382.37

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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.