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Finding the Fourth Proportional to 162,649.30, 243,779.55 and 83,722.90

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Solution

The fourth proportional to 162,649.30, 243,779.55 and 83,722.90 is: 125,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,649.30 : 243,779.55 = 83,722.90 : x
  2. Step 2: Convert to fraction form
    162,649.30/243,779.55 = 83,722.90/x
  3. Step 3: Cross multiply
    162,649.30x = 243,779.55 × 83,722.90
  4. Step 4: Simplify right side
    162,649.30x = 20,409,930,886.70
  5. Step 5: Solve for x
    x = 20,409,930,886.70/162,649.30
  6. Step 6: Final answer
    x = 125,484.28

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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.