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Finding the Fourth Proportional to 102,594.40, 141,639.17 and 78,203.88

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Solution

The fourth proportional to 102,594.40, 141,639.17 and 78,203.88 is: 107,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,594.40 : 141,639.17 = 78,203.88 : x
  2. Step 2: Convert to fraction form
    102,594.40/141,639.17 = 78,203.88/x
  3. Step 3: Cross multiply
    102,594.40x = 141,639.17 × 78,203.88
  4. Step 4: Simplify right side
    102,594.40x = 11,076,732,262.96
  5. Step 5: Solve for x
    x = 11,076,732,262.96/102,594.40
  6. Step 6: Final answer
    x = 107,966.25

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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.