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Finding the Fourth Proportional to 103,477, 142,798.44 and 58,765

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Solution

The fourth proportional to 103,477, 142,798.44 and 58,765 is: 81,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,477 : 142,798.44 = 58,765 : x
  2. Step 2: Convert to fraction form
    103,477/142,798.44 = 58,765/x
  3. Step 3: Cross multiply
    103,477x = 142,798.44 × 58,765
  4. Step 4: Simplify right side
    103,477x = 8,391,550,326.60
  5. Step 5: Solve for x
    x = 8,391,550,326.60/103,477
  6. Step 6: Final answer
    x = 81,095.80

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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.