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Finding the Fourth Proportional to 159,256.80, 219,734.64 and 102,600

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Solution

The fourth proportional to 159,256.80, 219,734.64 and 102,600 is: 141,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,256.80 : 219,734.64 = 102,600 : x
  2. Step 2: Convert to fraction form
    159,256.80/219,734.64 = 102,600/x
  3. Step 3: Cross multiply
    159,256.80x = 219,734.64 × 102,600
  4. Step 4: Simplify right side
    159,256.80x = 22,544,774,064
  5. Step 5: Solve for x
    x = 22,544,774,064/159,256.80
  6. Step 6: Final answer
    x = 141,562.40

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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.