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Finding the Fourth Proportional to 100,292.33, 138,466.34 and 64,544.47

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Solution

The fourth proportional to 100,292.33, 138,466.34 and 64,544.47 is: 89,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,292.33 : 138,466.34 = 64,544.47 : x
  2. Step 2: Convert to fraction form
    100,292.33/138,466.34 = 64,544.47/x
  3. Step 3: Cross multiply
    100,292.33x = 138,466.34 × 64,544.47
  4. Step 4: Simplify right side
    100,292.33x = 8,937,236,528.14
  5. Step 5: Solve for x
    x = 8,937,236,528.14/100,292.33
  6. Step 6: Final answer
    x = 89,111.86

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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.