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Finding the Fourth Proportional to 55,994, 83,999.64 and 20,938.64

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Solution

The fourth proportional to 55,994, 83,999.64 and 20,938.64 is: 31,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,994 : 83,999.64 = 20,938.64 : x
  2. Step 2: Convert to fraction form
    55,994/83,999.64 = 20,938.64/x
  3. Step 3: Cross multiply
    55,994x = 83,999.64 × 20,938.64
  4. Step 4: Simplify right side
    55,994x = 1,758,838,222.09
  5. Step 5: Solve for x
    x = 1,758,838,222.09/55,994
  6. Step 6: Final answer
    x = 31,411.19

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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.