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Finding the Fourth Proportional to 102,852.96, 141,896.52 and 64,590

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Solution

The fourth proportional to 102,852.96, 141,896.52 and 64,590 is: 89,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,852.96 : 141,896.52 = 64,590 : x
  2. Step 2: Convert to fraction form
    102,852.96/141,896.52 = 64,590/x
  3. Step 3: Cross multiply
    102,852.96x = 141,896.52 × 64,590
  4. Step 4: Simplify right side
    102,852.96x = 9,165,096,226.80
  5. Step 5: Solve for x
    x = 9,165,096,226.80/102,852.96
  6. Step 6: Final answer
    x = 89,108.73

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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.