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Finding the Fourth Proportional to 102,698.53, 141,723.00 and 57,384.32

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Solution

The fourth proportional to 102,698.53, 141,723.00 and 57,384.32 is: 79,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,698.53 : 141,723.00 = 57,384.32 : x
  2. Step 2: Convert to fraction form
    102,698.53/141,723.00 = 57,384.32/x
  3. Step 3: Cross multiply
    102,698.53x = 141,723.00 × 57,384.32
  4. Step 4: Simplify right side
    102,698.53x = 8,132,678,021.40
  5. Step 5: Solve for x
    x = 8,132,678,021.40/102,698.53
  6. Step 6: Final answer
    x = 79,189.82

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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.