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Finding the Fourth Proportional to 156,622, 216,317.80 and 103,146

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Solution

The fourth proportional to 156,622, 216,317.80 and 103,146 is: 142,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,622 : 216,317.80 = 103,146 : x
  2. Step 2: Convert to fraction form
    156,622/216,317.80 = 103,146/x
  3. Step 3: Cross multiply
    156,622x = 216,317.80 × 103,146
  4. Step 4: Simplify right side
    156,622x = 22,312,315,798.80
  5. Step 5: Solve for x
    x = 22,312,315,798.80/156,622
  6. Step 6: Final answer
    x = 142,459.65

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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.