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Finding the Fourth Proportional to 103,706.72, 143,072.70 and 76,915.16

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Solution

The fourth proportional to 103,706.72, 143,072.70 and 76,915.16 is: 106,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,706.72 : 143,072.70 = 76,915.16 : x
  2. Step 2: Convert to fraction form
    103,706.72/143,072.70 = 76,915.16/x
  3. Step 3: Cross multiply
    103,706.72x = 143,072.70 × 76,915.16
  4. Step 4: Simplify right side
    103,706.72x = 11,004,459,612.13
  5. Step 5: Solve for x
    x = 11,004,459,612.13/103,706.72
  6. Step 6: Final answer
    x = 106,111.35

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1.5x scale

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.