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Finding the Fourth Proportional to 145,820.80, 218,395.81 and 121,698.19

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Solution

The fourth proportional to 145,820.80, 218,395.81 and 121,698.19 is: 182,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,820.80 : 218,395.81 = 121,698.19 : x
  2. Step 2: Convert to fraction form
    145,820.80/218,395.81 = 121,698.19/x
  3. Step 3: Cross multiply
    145,820.80x = 218,395.81 × 121,698.19
  4. Step 4: Simplify right side
    145,820.80x = 26,578,374,780.58
  5. Step 5: Solve for x
    x = 26,578,374,780.58/145,820.80
  6. Step 6: Final answer
    x = 182,267.38

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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.