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Finding the Fourth Proportional to 52,374.90, 78,408 and 34,572.72

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Solution

The fourth proportional to 52,374.90, 78,408 and 34,572.72 is: 51,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,374.90 : 78,408 = 34,572.72 : x
  2. Step 2: Convert to fraction form
    52,374.90/78,408 = 34,572.72/x
  3. Step 3: Cross multiply
    52,374.90x = 78,408 × 34,572.72
  4. Step 4: Simplify right side
    52,374.90x = 2,710,777,829.76
  5. Step 5: Solve for x
    x = 2,710,777,829.76/52,374.90
  6. Step 6: Final answer
    x = 51,757.19

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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.