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Finding the Fourth Proportional to 51,725, 77,592 and 14,285.12

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Solution

The fourth proportional to 51,725, 77,592 and 14,285.12 is: 21,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,725 : 77,592 = 14,285.12 : x
  2. Step 2: Convert to fraction form
    51,725/77,592 = 14,285.12/x
  3. Step 3: Cross multiply
    51,725x = 77,592 × 14,285.12
  4. Step 4: Simplify right side
    51,725x = 1,108,411,031.04
  5. Step 5: Solve for x
    x = 1,108,411,031.04/51,725
  6. Step 6: Final answer
    x = 21,428.92

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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.