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Finding the Fourth Proportional to 105,712.60, 158,583.30 and 39,136.60

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Solution

The fourth proportional to 105,712.60, 158,583.30 and 39,136.60 is: 58,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,712.60 : 158,583.30 = 39,136.60 : x
  2. Step 2: Convert to fraction form
    105,712.60/158,583.30 = 39,136.60/x
  3. Step 3: Cross multiply
    105,712.60x = 158,583.30 × 39,136.60
  4. Step 4: Simplify right side
    105,712.60x = 6,206,411,178.78
  5. Step 5: Solve for x
    x = 6,206,411,178.78/105,712.60
  6. Step 6: Final answer
    x = 58,710.23

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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.