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Finding the Fourth Proportional to 100,411.74, 138,526.71 and 57,940.14

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Solution

The fourth proportional to 100,411.74, 138,526.71 and 57,940.14 is: 79,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,411.74 : 138,526.71 = 57,940.14 : x
  2. Step 2: Convert to fraction form
    100,411.74/138,526.71 = 57,940.14/x
  3. Step 3: Cross multiply
    100,411.74x = 138,526.71 × 57,940.14
  4. Step 4: Simplify right side
    100,411.74x = 8,026,256,971.14
  5. Step 5: Solve for x
    x = 8,026,256,971.14/100,411.74
  6. Step 6: Final answer
    x = 79,933.45

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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.