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Finding the Fourth Proportional to 105,235.70, 145,223.43 and 57,487.82

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Solution

The fourth proportional to 105,235.70, 145,223.43 and 57,487.82 is: 79,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,235.70 : 145,223.43 = 57,487.82 : x
  2. Step 2: Convert to fraction form
    105,235.70/145,223.43 = 57,487.82/x
  3. Step 3: Cross multiply
    105,235.70x = 145,223.43 × 57,487.82
  4. Step 4: Simplify right side
    105,235.70x = 8,348,578,403.62
  5. Step 5: Solve for x
    x = 8,348,578,403.62/105,235.70
  6. Step 6: Final answer
    x = 79,332.19

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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.