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Finding the Fourth Proportional to 100,265, 138,365.72 and 59,980.46

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Solution

The fourth proportional to 100,265, 138,365.72 and 59,980.46 is: 82,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,265 : 138,365.72 = 59,980.46 : x
  2. Step 2: Convert to fraction form
    100,265/138,365.72 = 59,980.46/x
  3. Step 3: Cross multiply
    100,265x = 138,365.72 × 59,980.46
  4. Step 4: Simplify right side
    100,265x = 8,299,239,533.83
  5. Step 5: Solve for x
    x = 8,299,239,533.83/100,265
  6. Step 6: Final answer
    x = 82,773.05

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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.