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Finding the Fourth Proportional to 105,579.81, 158,368.45 and 42,398.80

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Solution

The fourth proportional to 105,579.81, 158,368.45 and 42,398.80 is: 63,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,579.81 : 158,368.45 = 42,398.80 : x
  2. Step 2: Convert to fraction form
    105,579.81/158,368.45 = 42,398.80/x
  3. Step 3: Cross multiply
    105,579.81x = 158,368.45 × 42,398.80
  4. Step 4: Simplify right side
    105,579.81x = 6,714,632,237.86
  5. Step 5: Solve for x
    x = 6,714,632,237.86/105,579.81
  6. Step 6: Final answer
    x = 63,597.69

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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.