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Finding the Fourth Proportional to 162,562.74, 243,622.52 and 78,316.77

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Solution

The fourth proportional to 162,562.74, 243,622.52 and 78,316.77 is: 117,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,562.74 : 243,622.52 = 78,316.77 : x
  2. Step 2: Convert to fraction form
    162,562.74/243,622.52 = 78,316.77/x
  3. Step 3: Cross multiply
    162,562.74x = 243,622.52 × 78,316.77
  4. Step 4: Simplify right side
    162,562.74x = 19,079,728,474.08
  5. Step 5: Solve for x
    x = 19,079,728,474.08/162,562.74
  6. Step 6: Final answer
    x = 117,368.40

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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.