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Finding the Fourth Proportional to 52,339, 78,509.36 and 14,900

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Solution

The fourth proportional to 52,339, 78,509.36 and 14,900 is: 22,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,339 : 78,509.36 = 14,900 : x
  2. Step 2: Convert to fraction form
    52,339/78,509.36 = 14,900/x
  3. Step 3: Cross multiply
    52,339x = 78,509.36 × 14,900
  4. Step 4: Simplify right side
    52,339x = 1,169,789,464
  5. Step 5: Solve for x
    x = 1,169,789,464/52,339
  6. Step 6: Final answer
    x = 22,350.24

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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.