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Finding the Fourth Proportional to 105,642.70, 158,430.58 and 34,548.91

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Solution

The fourth proportional to 105,642.70, 158,430.58 and 34,548.91 is: 51,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,642.70 : 158,430.58 = 34,548.91 : x
  2. Step 2: Convert to fraction form
    105,642.70/158,430.58 = 34,548.91/x
  3. Step 3: Cross multiply
    105,642.70x = 158,430.58 × 34,548.91
  4. Step 4: Simplify right side
    105,642.70x = 5,473,603,849.67
  5. Step 5: Solve for x
    x = 5,473,603,849.67/105,642.70
  6. Step 6: Final answer
    x = 51,812.42

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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.