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Finding the Fourth Proportional to 100,038.96, 138,103.90 and 77,326.62

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Solution

The fourth proportional to 100,038.96, 138,103.90 and 77,326.62 is: 106,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,038.96 : 138,103.90 = 77,326.62 : x
  2. Step 2: Convert to fraction form
    100,038.96/138,103.90 = 77,326.62/x
  3. Step 3: Cross multiply
    100,038.96x = 138,103.90 × 77,326.62
  4. Step 4: Simplify right side
    100,038.96x = 10,679,107,795.82
  5. Step 5: Solve for x
    x = 10,679,107,795.82/100,038.96
  6. Step 6: Final answer
    x = 106,749.49

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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.