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Finding the Fourth Proportional to 55,871.84, 83,810.36 and 18,435.20

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Solution

The fourth proportional to 55,871.84, 83,810.36 and 18,435.20 is: 27,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,871.84 : 83,810.36 = 18,435.20 : x
  2. Step 2: Convert to fraction form
    55,871.84/83,810.36 = 18,435.20/x
  3. Step 3: Cross multiply
    55,871.84x = 83,810.36 × 18,435.20
  4. Step 4: Simplify right side
    55,871.84x = 1,545,060,748.67
  5. Step 5: Solve for x
    x = 1,545,060,748.67/55,871.84
  6. Step 6: Final answer
    x = 27,653.66

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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.