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Finding the Fourth Proportional to 105,243.20, 157,730.40 and 42,843.20

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Solution

The fourth proportional to 105,243.20, 157,730.40 and 42,843.20 is: 64,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,243.20 : 157,730.40 = 42,843.20 : x
  2. Step 2: Convert to fraction form
    105,243.20/157,730.40 = 42,843.20/x
  3. Step 3: Cross multiply
    105,243.20x = 157,730.40 × 42,843.20
  4. Step 4: Simplify right side
    105,243.20x = 6,757,675,073.28
  5. Step 5: Solve for x
    x = 6,757,675,073.28/105,243.20
  6. Step 6: Final answer
    x = 64,210.09

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1.5x scale

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.