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Finding the Fourth Proportional to 100,403.62, 138,290.93 and 74,828.17

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Solution

The fourth proportional to 100,403.62, 138,290.93 and 74,828.17 is: 103,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,403.62 : 138,290.93 = 74,828.17 : x
  2. Step 2: Convert to fraction form
    100,403.62/138,290.93 = 74,828.17/x
  3. Step 3: Cross multiply
    100,403.62x = 138,290.93 × 74,828.17
  4. Step 4: Simplify right side
    100,403.62x = 10,348,057,219.50
  5. Step 5: Solve for x
    x = 10,348,057,219.50/100,403.62
  6. Step 6: Final answer
    x = 103,064.58

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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.