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Finding the Fourth Proportional to 116,486.04, 160,705.02 and 65,487

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Solution

The fourth proportional to 116,486.04, 160,705.02 and 65,487 is: 90,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,486.04 : 160,705.02 = 65,487 : x
  2. Step 2: Convert to fraction form
    116,486.04/160,705.02 = 65,487/x
  3. Step 3: Cross multiply
    116,486.04x = 160,705.02 × 65,487
  4. Step 4: Simplify right side
    116,486.04x = 10,524,089,644.74
  5. Step 5: Solve for x
    x = 10,524,089,644.74/116,486.04
  6. Step 6: Final answer
    x = 90,346.36

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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.