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Finding the Fourth Proportional to 115,832.96, 159,836 and 64,848.48

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Solution

The fourth proportional to 115,832.96, 159,836 and 64,848.48 is: 89,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,832.96 : 159,836 = 64,848.48 : x
  2. Step 2: Convert to fraction form
    115,832.96/159,836 = 64,848.48/x
  3. Step 3: Cross multiply
    115,832.96x = 159,836 × 64,848.48
  4. Step 4: Simplify right side
    115,832.96x = 10,365,121,649.28
  5. Step 5: Solve for x
    x = 10,365,121,649.28/115,832.96
  6. Step 6: Final answer
    x = 89,483.35

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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.