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Finding the Fourth Proportional to 77,484.42, 106,961.04 and 65,609.28

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Solution

The fourth proportional to 77,484.42, 106,961.04 and 65,609.28 is: 90,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,484.42 : 106,961.04 = 65,609.28 : x
  2. Step 2: Convert to fraction form
    77,484.42/106,961.04 = 65,609.28/x
  3. Step 3: Cross multiply
    77,484.42x = 106,961.04 × 65,609.28
  4. Step 4: Simplify right side
    77,484.42x = 7,017,636,822.45
  5. Step 5: Solve for x
    x = 7,017,636,822.45/77,484.42
  6. Step 6: Final answer
    x = 90,568.36

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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.