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Finding the Fourth Proportional to 78,508.50, 117,602.37 and 65,318.46

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Solution

The fourth proportional to 78,508.50, 117,602.37 and 65,318.46 is: 97,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.50 : 117,602.37 = 65,318.46 : x
  2. Step 2: Convert to fraction form
    78,508.50/117,602.37 = 65,318.46/x
  3. Step 3: Cross multiply
    78,508.50x = 117,602.37 × 65,318.46
  4. Step 4: Simplify right side
    78,508.50x = 7,681,605,700.75
  5. Step 5: Solve for x
    x = 7,681,605,700.75/78,508.50
  6. Step 6: Final answer
    x = 97,844.26

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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.