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Finding the Fourth Proportional to 77,442, 106,853.48 and 45,599.28

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Solution

The fourth proportional to 77,442, 106,853.48 and 45,599.28 is: 62,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,442 : 106,853.48 = 45,599.28 : x
  2. Step 2: Convert to fraction form
    77,442/106,853.48 = 45,599.28/x
  3. Step 3: Cross multiply
    77,442x = 106,853.48 × 45,599.28
  4. Step 4: Simplify right side
    77,442x = 4,872,441,753.49
  5. Step 5: Solve for x
    x = 4,872,441,753.49/77,442
  6. Step 6: Final answer
    x = 62,917.30

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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.