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Finding the Fourth Proportional to 58,374.40, 87,534.96 and 20,920

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Solution

The fourth proportional to 58,374.40, 87,534.96 and 20,920 is: 31,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,374.40 : 87,534.96 = 20,920 : x
  2. Step 2: Convert to fraction form
    58,374.40/87,534.96 = 20,920/x
  3. Step 3: Cross multiply
    58,374.40x = 87,534.96 × 20,920
  4. Step 4: Simplify right side
    58,374.40x = 1,831,231,363.20
  5. Step 5: Solve for x
    x = 1,831,231,363.20/58,374.40
  6. Step 6: Final answer
    x = 31,370.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.