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Finding the Fourth Proportional to 102,554.10, 153,721.80 and 39,349.80

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Solution

The fourth proportional to 102,554.10, 153,721.80 and 39,349.80 is: 58,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,554.10 : 153,721.80 = 39,349.80 : x
  2. Step 2: Convert to fraction form
    102,554.10/153,721.80 = 39,349.80/x
  3. Step 3: Cross multiply
    102,554.10x = 153,721.80 × 39,349.80
  4. Step 4: Simplify right side
    102,554.10x = 6,048,922,085.64
  5. Step 5: Solve for x
    x = 6,048,922,085.64/102,554.10
  6. Step 6: Final answer
    x = 58,982.74

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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.