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Finding the Fourth Proportional to 145,686.83, 218,660.04 and 74,657.84

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Solution

The fourth proportional to 145,686.83, 218,660.04 and 74,657.84 is: 112,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,686.83 : 218,660.04 = 74,657.84 : x
  2. Step 2: Convert to fraction form
    145,686.83/218,660.04 = 74,657.84/x
  3. Step 3: Cross multiply
    145,686.83x = 218,660.04 × 74,657.84
  4. Step 4: Simplify right side
    145,686.83x = 16,324,685,187.41
  5. Step 5: Solve for x
    x = 16,324,685,187.41/145,686.83
  6. Step 6: Final answer
    x = 112,053.27

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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.