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Finding the Fourth Proportional to 102,666.80, 153,785.39 and 82,567.65

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Solution

The fourth proportional to 102,666.80, 153,785.39 and 82,567.65 is: 123,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,666.80 : 153,785.39 = 82,567.65 : x
  2. Step 2: Convert to fraction form
    102,666.80/153,785.39 = 82,567.65/x
  3. Step 3: Cross multiply
    102,666.80x = 153,785.39 × 82,567.65
  4. Step 4: Simplify right side
    102,666.80x = 12,697,698,256.63
  5. Step 5: Solve for x
    x = 12,697,698,256.63/102,666.80
  6. Step 6: Final answer
    x = 123,678.72

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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.