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Finding the Fourth Proportional to 78,069, 116,980.78 and 60,343.04

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Solution

The fourth proportional to 78,069, 116,980.78 and 60,343.04 is: 90,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,069 : 116,980.78 = 60,343.04 : x
  2. Step 2: Convert to fraction form
    78,069/116,980.78 = 60,343.04/x
  3. Step 3: Cross multiply
    78,069x = 116,980.78 × 60,343.04
  4. Step 4: Simplify right side
    78,069x = 7,058,975,886.77
  5. Step 5: Solve for x
    x = 7,058,975,886.77/78,069
  6. Step 6: Final answer
    x = 90,419.70

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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.