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Finding the Fourth Proportional to 103,136, 142,320 and 58,423.04

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Solution

The fourth proportional to 103,136, 142,320 and 58,423.04 is: 80,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,136 : 142,320 = 58,423.04 : x
  2. Step 2: Convert to fraction form
    103,136/142,320 = 58,423.04/x
  3. Step 3: Cross multiply
    103,136x = 142,320 × 58,423.04
  4. Step 4: Simplify right side
    103,136x = 8,314,767,052.80
  5. Step 5: Solve for x
    x = 8,314,767,052.80/103,136
  6. Step 6: Final answer
    x = 80,619.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.