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Finding the Fourth Proportional to 157,079.76, 216,765.06 and 85,457.94

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Solution

The fourth proportional to 157,079.76, 216,765.06 and 85,457.94 is: 117,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,079.76 : 216,765.06 = 85,457.94 : x
  2. Step 2: Convert to fraction form
    157,079.76/216,765.06 = 85,457.94/x
  3. Step 3: Cross multiply
    157,079.76x = 216,765.06 × 85,457.94
  4. Step 4: Simplify right side
    157,079.76x = 18,524,295,491.58
  5. Step 5: Solve for x
    x = 18,524,295,491.58/157,079.76
  6. Step 6: Final answer
    x = 117,929.23

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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.