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Finding the Fourth Proportional to 77,108.62, 106,421.94 and 46,903.42

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Solution

The fourth proportional to 77,108.62, 106,421.94 and 46,903.42 is: 64,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,108.62 : 106,421.94 = 46,903.42 : x
  2. Step 2: Convert to fraction form
    77,108.62/106,421.94 = 46,903.42/x
  3. Step 3: Cross multiply
    77,108.62x = 106,421.94 × 46,903.42
  4. Step 4: Simplify right side
    77,108.62x = 4,991,552,949.03
  5. Step 5: Solve for x
    x = 4,991,552,949.03/77,108.62
  6. Step 6: Final answer
    x = 64,734.05

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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.