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Finding the Fourth Proportional to 375,642.43, 563,469.82 and 105,777.06

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Solution

The fourth proportional to 375,642.43, 563,469.82 and 105,777.06 is: 158,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,642.43 : 563,469.82 = 105,777.06 : x
  2. Step 2: Convert to fraction form
    375,642.43/563,469.82 = 105,777.06/x
  3. Step 3: Cross multiply
    375,642.43x = 563,469.82 × 105,777.06
  4. Step 4: Simplify right side
    375,642.43x = 59,602,178,580.87
  5. Step 5: Solve for x
    x = 59,602,178,580.87/375,642.43
  6. Step 6: Final answer
    x = 158,667.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.