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Finding the Fourth Proportional to 78,420.64, 117,650.80 and 34,036.64

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Solution

The fourth proportional to 78,420.64, 117,650.80 and 34,036.64 is: 51,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,420.64 : 117,650.80 = 34,036.64 : x
  2. Step 2: Convert to fraction form
    78,420.64/117,650.80 = 34,036.64/x
  3. Step 3: Cross multiply
    78,420.64x = 117,650.80 × 34,036.64
  4. Step 4: Simplify right side
    78,420.64x = 4,004,437,925.31
  5. Step 5: Solve for x
    x = 4,004,437,925.31/78,420.64
  6. Step 6: Final answer
    x = 51,063.57

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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.