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Finding the Fourth Proportional to 162,484.56, 243,622.98 and 78,076.77

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Solution

The fourth proportional to 162,484.56, 243,622.98 and 78,076.77 is: 117,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,484.56 : 243,622.98 = 78,076.77 : x
  2. Step 2: Convert to fraction form
    162,484.56/243,622.98 = 78,076.77/x
  3. Step 3: Cross multiply
    162,484.56x = 243,622.98 × 78,076.77
  4. Step 4: Simplify right side
    162,484.56x = 19,021,295,376.17
  5. Step 5: Solve for x
    x = 19,021,295,376.17/162,484.56
  6. Step 6: Final answer
    x = 117,065.25

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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.