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Finding the Fourth Proportional to 102,638.90, 153,977.49 and 39,456.47

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Solution

The fourth proportional to 102,638.90, 153,977.49 and 39,456.47 is: 59,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,638.90 : 153,977.49 = 39,456.47 : x
  2. Step 2: Convert to fraction form
    102,638.90/153,977.49 = 39,456.47/x
  3. Step 3: Cross multiply
    102,638.90x = 153,977.49 × 39,456.47
  4. Step 4: Simplify right side
    102,638.90x = 6,075,408,599.80
  5. Step 5: Solve for x
    x = 6,075,408,599.80/102,638.90
  6. Step 6: Final answer
    x = 59,192.07

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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.