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Finding the Fourth Proportional to 157,205.94, 216,948.10 and 85,589.89

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Solution

The fourth proportional to 157,205.94, 216,948.10 and 85,589.89 is: 118,116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,205.94 : 216,948.10 = 85,589.89 : x
  2. Step 2: Convert to fraction form
    157,205.94/216,948.10 = 85,589.89/x
  3. Step 3: Cross multiply
    157,205.94x = 216,948.10 × 85,589.89
  4. Step 4: Simplify right side
    157,205.94x = 18,568,564,014.71
  5. Step 5: Solve for x
    x = 18,568,564,014.71/157,205.94
  6. Step 6: Final answer
    x = 118,116.17

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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.