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Finding the Fourth Proportional to 83,678.40, 125,516.80 and 20,498.80

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Solution

The fourth proportional to 83,678.40, 125,516.80 and 20,498.80 is: 30,748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,678.40 : 125,516.80 = 20,498.80 : x
  2. Step 2: Convert to fraction form
    83,678.40/125,516.80 = 20,498.80/x
  3. Step 3: Cross multiply
    83,678.40x = 125,516.80 × 20,498.80
  4. Step 4: Simplify right side
    83,678.40x = 2,572,943,779.84
  5. Step 5: Solve for x
    x = 2,572,943,779.84/83,678.40
  6. Step 6: Final answer
    x = 30,748.00

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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.