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Finding the Fourth Proportional to 102,752.34, 141,534.43 and 72,484.44

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Solution

The fourth proportional to 102,752.34, 141,534.43 and 72,484.44 is: 99,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,752.34 : 141,534.43 = 72,484.44 : x
  2. Step 2: Convert to fraction form
    102,752.34/141,534.43 = 72,484.44/x
  3. Step 3: Cross multiply
    102,752.34x = 141,534.43 × 72,484.44
  4. Step 4: Simplify right side
    102,752.34x = 10,259,043,899.27
  5. Step 5: Solve for x
    x = 10,259,043,899.27/102,752.34
  6. Step 6: Final answer
    x = 99,842.44

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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.