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Finding the Fourth Proportional to 177,872.64, 245,490.72 and 102,406.40

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Solution

The fourth proportional to 177,872.64, 245,490.72 and 102,406.40 is: 141,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,872.64 : 245,490.72 = 102,406.40 : x
  2. Step 2: Convert to fraction form
    177,872.64/245,490.72 = 102,406.40/x
  3. Step 3: Cross multiply
    177,872.64x = 245,490.72 × 102,406.40
  4. Step 4: Simplify right side
    177,872.64x = 25,139,820,868.61
  5. Step 5: Solve for x
    x = 25,139,820,868.61/177,872.64
  6. Step 6: Final answer
    x = 141,336.08

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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.