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Finding the Fourth Proportional to 78,535.62, 117,657.63 and 53,223.12

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Solution

The fourth proportional to 78,535.62, 117,657.63 and 53,223.12 is: 79,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,535.62 : 117,657.63 = 53,223.12 : x
  2. Step 2: Convert to fraction form
    78,535.62/117,657.63 = 53,223.12/x
  3. Step 3: Cross multiply
    78,535.62x = 117,657.63 × 53,223.12
  4. Step 4: Simplify right side
    78,535.62x = 6,262,106,160.41
  5. Step 5: Solve for x
    x = 6,262,106,160.41/78,535.62
  6. Step 6: Final answer
    x = 79,735.87

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1.5x scale

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.