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Finding the Fourth Proportional to 55,904.64, 83,865.60 and 18,960

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Solution

The fourth proportional to 55,904.64, 83,865.60 and 18,960 is: 28,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,904.64 : 83,865.60 = 18,960 : x
  2. Step 2: Convert to fraction form
    55,904.64/83,865.60 = 18,960/x
  3. Step 3: Cross multiply
    55,904.64x = 83,865.60 × 18,960
  4. Step 4: Simplify right side
    55,904.64x = 1,590,091,776
  5. Step 5: Solve for x
    x = 1,590,091,776/55,904.64
  6. Step 6: Final answer
    x = 28,442.93

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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.