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Finding the Fourth Proportional to 205,337.40, 307,977.30 and 65,110.20

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Solution

The fourth proportional to 205,337.40, 307,977.30 and 65,110.20 is: 97,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,337.40 : 307,977.30 = 65,110.20 : x
  2. Step 2: Convert to fraction form
    205,337.40/307,977.30 = 65,110.20/x
  3. Step 3: Cross multiply
    205,337.40x = 307,977.30 × 65,110.20
  4. Step 4: Simplify right side
    205,337.40x = 20,052,463,598.46
  5. Step 5: Solve for x
    x = 20,052,463,598.46/205,337.40
  6. Step 6: Final answer
    x = 97,656.17

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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.