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Finding the Fourth Proportional to 157,435.50, 217,254.63 and 85,813.98

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Solution

The fourth proportional to 157,435.50, 217,254.63 and 85,813.98 is: 118,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,435.50 : 217,254.63 = 85,813.98 : x
  2. Step 2: Convert to fraction form
    157,435.50/217,254.63 = 85,813.98/x
  3. Step 3: Cross multiply
    157,435.50x = 217,254.63 × 85,813.98
  4. Step 4: Simplify right side
    157,435.50x = 18,643,484,473.73
  5. Step 5: Solve for x
    x = 18,643,484,473.73/157,435.50
  6. Step 6: Final answer
    x = 118,419.83

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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.