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Finding the Fourth Proportional to 103,286, 142,534.68 and 58,574

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Solution

The fourth proportional to 103,286, 142,534.68 and 58,574 is: 80,832.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,286 : 142,534.68 = 58,574 : x
  2. Step 2: Convert to fraction form
    103,286/142,534.68 = 58,574/x
  3. Step 3: Cross multiply
    103,286x = 142,534.68 × 58,574
  4. Step 4: Simplify right side
    103,286x = 8,348,826,346.32
  5. Step 5: Solve for x
    x = 8,348,826,346.32/103,286
  6. Step 6: Final answer
    x = 80,832.12

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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.