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Finding the Fourth Proportional to 115,775.82, 159,777.36 and 64,788.11

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Solution

The fourth proportional to 115,775.82, 159,777.36 and 64,788.11 is: 89,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,775.82 : 159,777.36 = 64,788.11 : x
  2. Step 2: Convert to fraction form
    115,775.82/159,777.36 = 64,788.11/x
  3. Step 3: Cross multiply
    115,775.82x = 159,777.36 × 64,788.11
  4. Step 4: Simplify right side
    115,775.82x = 10,351,672,376.30
  5. Step 5: Solve for x
    x = 10,351,672,376.30/115,775.82
  6. Step 6: Final answer
    x = 89,411.35

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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.