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Finding the Fourth Proportional to 103,457.25, 142,771.16 and 58,745.25

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Solution

The fourth proportional to 103,457.25, 142,771.16 and 58,745.25 is: 81,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,457.25 : 142,771.16 = 58,745.25 : x
  2. Step 2: Convert to fraction form
    103,457.25/142,771.16 = 58,745.25/x
  3. Step 3: Cross multiply
    103,457.25x = 142,771.16 × 58,745.25
  4. Step 4: Simplify right side
    103,457.25x = 8,387,127,193.26
  5. Step 5: Solve for x
    x = 8,387,127,193.26/103,457.25
  6. Step 6: Final answer
    x = 81,068.53

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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.