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Finding the Fourth Proportional to 103,482.96, 142,805.64 and 58,770

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Solution

The fourth proportional to 103,482.96, 142,805.64 and 58,770 is: 81,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,482.96 : 142,805.64 = 58,770 : x
  2. Step 2: Convert to fraction form
    103,482.96/142,805.64 = 58,770/x
  3. Step 3: Cross multiply
    103,482.96x = 142,805.64 × 58,770
  4. Step 4: Simplify right side
    103,482.96x = 8,392,687,462.80
  5. Step 5: Solve for x
    x = 8,392,687,462.80/103,482.96
  6. Step 6: Final answer
    x = 81,102.12

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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.