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Finding the Fourth Proportional to 156,621, 216,316.42 and 103,145

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Solution

The fourth proportional to 156,621, 216,316.42 and 103,145 is: 142,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,621 : 216,316.42 = 103,145 : x
  2. Step 2: Convert to fraction form
    156,621/216,316.42 = 103,145/x
  3. Step 3: Cross multiply
    156,621x = 216,316.42 × 103,145
  4. Step 4: Simplify right side
    156,621x = 22,311,957,140.90
  5. Step 5: Solve for x
    x = 22,311,957,140.90/156,621
  6. Step 6: Final answer
    x = 142,458.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.