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Finding the Fourth Proportional to 102,653.90, 153,721.65 and 81,917.90

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Solution

The fourth proportional to 102,653.90, 153,721.65 and 81,917.90 is: 122,670.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,653.90 : 153,721.65 = 81,917.90 : x
  2. Step 2: Convert to fraction form
    102,653.90/153,721.65 = 81,917.90/x
  3. Step 3: Cross multiply
    102,653.90x = 153,721.65 × 81,917.90
  4. Step 4: Simplify right side
    102,653.90x = 12,592,554,752.54
  5. Step 5: Solve for x
    x = 12,592,554,752.54/102,653.90
  6. Step 6: Final answer
    x = 122,670.01

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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.