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Finding the Fourth Proportional to 52,437.58, 78,612.82 and 20,828.14

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Solution

The fourth proportional to 52,437.58, 78,612.82 and 20,828.14 is: 31,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,437.58 : 78,612.82 = 20,828.14 : x
  2. Step 2: Convert to fraction form
    52,437.58/78,612.82 = 20,828.14/x
  3. Step 3: Cross multiply
    52,437.58x = 78,612.82 × 20,828.14
  4. Step 4: Simplify right side
    52,437.58x = 1,637,358,820.75
  5. Step 5: Solve for x
    x = 1,637,358,820.75/52,437.58
  6. Step 6: Final answer
    x = 31,224.91

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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.