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Finding the Fourth Proportional to 145,649.44, 200,994 and 81,987.04

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Solution

The fourth proportional to 145,649.44, 200,994 and 81,987.04 is: 113,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,649.44 : 200,994 = 81,987.04 : x
  2. Step 2: Convert to fraction form
    145,649.44/200,994 = 81,987.04/x
  3. Step 3: Cross multiply
    145,649.44x = 200,994 × 81,987.04
  4. Step 4: Simplify right side
    145,649.44x = 16,478,903,117.76
  5. Step 5: Solve for x
    x = 16,478,903,117.76/145,649.44
  6. Step 6: Final answer
    x = 113,140.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.