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Finding the Fourth Proportional to 109,862.84, 164,779.64 and 30,983.40

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Solution

The fourth proportional to 109,862.84, 164,779.64 and 30,983.40 is: 46,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,862.84 : 164,779.64 = 30,983.40 : x
  2. Step 2: Convert to fraction form
    109,862.84/164,779.64 = 30,983.40/x
  3. Step 3: Cross multiply
    109,862.84x = 164,779.64 × 30,983.40
  4. Step 4: Simplify right side
    109,862.84x = 5,105,433,497.98
  5. Step 5: Solve for x
    x = 5,105,433,497.98/109,862.84
  6. Step 6: Final answer
    x = 46,470.98

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1.5x scale

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.