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Finding the Fourth Proportional to 52,507.17, 78,713.15 and 20,938.95

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Solution

The fourth proportional to 52,507.17, 78,713.15 and 20,938.95 is: 31,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,507.17 : 78,713.15 = 20,938.95 : x
  2. Step 2: Convert to fraction form
    52,507.17/78,713.15 = 20,938.95/x
  3. Step 3: Cross multiply
    52,507.17x = 78,713.15 × 20,938.95
  4. Step 4: Simplify right side
    52,507.17x = 1,648,170,607.50
  5. Step 5: Solve for x
    x = 1,648,170,607.50/52,507.17
  6. Step 6: Final answer
    x = 31,389.44

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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.