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Finding the Fourth Proportional to 100,971.84, 139,343.94 and 57,955.02

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Solution

The fourth proportional to 100,971.84, 139,343.94 and 57,955.02 is: 79,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971.84 : 139,343.94 = 57,955.02 : x
  2. Step 2: Convert to fraction form
    100,971.84/139,343.94 = 57,955.02/x
  3. Step 3: Cross multiply
    100,971.84x = 139,343.94 × 57,955.02
  4. Step 4: Simplify right side
    100,971.84x = 8,075,680,829.58
  5. Step 5: Solve for x
    x = 8,075,680,829.58/100,971.84
  6. Step 6: Final answer
    x = 79,979.54

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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.