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Finding the Fourth Proportional to 77,205.60, 106,545.64 and 43,213.80

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Solution

The fourth proportional to 77,205.60, 106,545.64 and 43,213.80 is: 59,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,205.60 : 106,545.64 = 43,213.80 : x
  2. Step 2: Convert to fraction form
    77,205.60/106,545.64 = 43,213.80/x
  3. Step 3: Cross multiply
    77,205.60x = 106,545.64 × 43,213.80
  4. Step 4: Simplify right side
    77,205.60x = 4,604,241,977.83
  5. Step 5: Solve for x
    x = 4,604,241,977.83/77,205.60
  6. Step 6: Final answer
    x = 59,636.11

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1.5x scale

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.