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Finding the Fourth Proportional to 189,043.80, 260,878.40 and 108,484.02

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Solution

The fourth proportional to 189,043.80, 260,878.40 and 108,484.02 is: 149,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,043.80 : 260,878.40 = 108,484.02 : x
  2. Step 2: Convert to fraction form
    189,043.80/260,878.40 = 108,484.02/x
  3. Step 3: Cross multiply
    189,043.80x = 260,878.40 × 108,484.02
  4. Step 4: Simplify right side
    189,043.80x = 28,301,137,563.17
  5. Step 5: Solve for x
    x = 28,301,137,563.17/189,043.80
  6. Step 6: Final answer
    x = 149,706.77

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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.