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Finding the Fourth Proportional to 118,709.74, 177,938.25 and 81,259.39

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Solution

The fourth proportional to 118,709.74, 177,938.25 and 81,259.39 is: 121,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,709.74 : 177,938.25 = 81,259.39 : x
  2. Step 2: Convert to fraction form
    118,709.74/177,938.25 = 81,259.39/x
  3. Step 3: Cross multiply
    118,709.74x = 177,938.25 × 81,259.39
  4. Step 4: Simplify right side
    118,709.74x = 14,459,153,652.67
  5. Step 5: Solve for x
    x = 14,459,153,652.67/118,709.74
  6. Step 6: Final answer
    x = 121,802.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.