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Finding the Fourth Proportional to 115,852.83, 159,869.12 and 64,856.94

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Solution

The fourth proportional to 115,852.83, 159,869.12 and 64,856.94 is: 89,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,852.83 : 159,869.12 = 64,856.94 : x
  2. Step 2: Convert to fraction form
    115,852.83/159,869.12 = 64,856.94/x
  3. Step 3: Cross multiply
    115,852.83x = 159,869.12 × 64,856.94
  4. Step 4: Simplify right side
    115,852.83x = 10,368,621,599.41
  5. Step 5: Solve for x
    x = 10,368,621,599.41/115,852.83
  6. Step 6: Final answer
    x = 89,498.22

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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.