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Finding the Fourth Proportional to 162,557.80, 243,804.30 and 78,317.80

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Solution

The fourth proportional to 162,557.80, 243,804.30 and 78,317.80 is: 117,461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,557.80 : 243,804.30 = 78,317.80 : x
  2. Step 2: Convert to fraction form
    162,557.80/243,804.30 = 78,317.80/x
  3. Step 3: Cross multiply
    162,557.80x = 243,804.30 × 78,317.80
  4. Step 4: Simplify right side
    162,557.80x = 19,094,216,406.54
  5. Step 5: Solve for x
    x = 19,094,216,406.54/162,557.80
  6. Step 6: Final answer
    x = 117,461.09

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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.