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Finding the Fourth Proportional to 102,892.80, 141,963.12 and 60,435.84

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Solution

The fourth proportional to 102,892.80, 141,963.12 and 60,435.84 is: 83,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,892.80 : 141,963.12 = 60,435.84 : x
  2. Step 2: Convert to fraction form
    102,892.80/141,963.12 = 60,435.84/x
  3. Step 3: Cross multiply
    102,892.80x = 141,963.12 × 60,435.84
  4. Step 4: Simplify right side
    102,892.80x = 8,579,660,406.22
  5. Step 5: Solve for x
    x = 8,579,660,406.22/102,892.80
  6. Step 6: Final answer
    x = 83,384.46

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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.