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Finding the Fourth Proportional to 116,457.78, 160,717.43 and 65,486.55

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Solution

The fourth proportional to 116,457.78, 160,717.43 and 65,486.55 is: 90,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,457.78 : 160,717.43 = 65,486.55 : x
  2. Step 2: Convert to fraction form
    116,457.78/160,717.43 = 65,486.55/x
  3. Step 3: Cross multiply
    116,457.78x = 160,717.43 × 65,486.55
  4. Step 4: Simplify right side
    116,457.78x = 10,524,830,781.97
  5. Step 5: Solve for x
    x = 10,524,830,781.97/116,457.78
  6. Step 6: Final answer
    x = 90,374.65

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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.