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Finding the Fourth Proportional to 100,307.80, 138,439.50 and 57,858.04

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Solution

The fourth proportional to 100,307.80, 138,439.50 and 57,858.04 is: 79,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,307.80 : 138,439.50 = 57,858.04 : x
  2. Step 2: Convert to fraction form
    100,307.80/138,439.50 = 57,858.04/x
  3. Step 3: Cross multiply
    100,307.80x = 138,439.50 × 57,858.04
  4. Step 4: Simplify right side
    100,307.80x = 8,009,838,128.58
  5. Step 5: Solve for x
    x = 8,009,838,128.58/100,307.80
  6. Step 6: Final answer
    x = 79,852.59

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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.