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Finding the Fourth Proportional to 100,507.86, 138,672.54 and 64,718.58

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Solution

The fourth proportional to 100,507.86, 138,672.54 and 64,718.58 is: 89,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,507.86 : 138,672.54 = 64,718.58 : x
  2. Step 2: Convert to fraction form
    100,507.86/138,672.54 = 64,718.58/x
  3. Step 3: Cross multiply
    100,507.86x = 138,672.54 × 64,718.58
  4. Step 4: Simplify right side
    100,507.86x = 8,974,689,873.79
  5. Step 5: Solve for x
    x = 8,974,689,873.79/100,507.86
  6. Step 6: Final answer
    x = 89,293.41

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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.