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Finding the Fourth Proportional to 136,605.40, 205,061.70 and 105,578.20

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Solution

The fourth proportional to 136,605.40, 205,061.70 and 105,578.20 is: 158,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,605.40 : 205,061.70 = 105,578.20 : x
  2. Step 2: Convert to fraction form
    136,605.40/205,061.70 = 105,578.20/x
  3. Step 3: Cross multiply
    136,605.40x = 205,061.70 × 105,578.20
  4. Step 4: Simplify right side
    136,605.40x = 21,650,045,174.94
  5. Step 5: Solve for x
    x = 21,650,045,174.94/136,605.40
  6. Step 6: Final answer
    x = 158,486.01

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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.