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Finding the Fourth Proportional to 51,897, 77,643.12 and 39,453

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Solution

The fourth proportional to 51,897, 77,643.12 and 39,453 is: 59,025.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,897 : 77,643.12 = 39,453 : x
  2. Step 2: Convert to fraction form
    51,897/77,643.12 = 39,453/x
  3. Step 3: Cross multiply
    51,897x = 77,643.12 × 39,453
  4. Step 4: Simplify right side
    51,897x = 3,063,254,013.36
  5. Step 5: Solve for x
    x = 3,063,254,013.36/51,897
  6. Step 6: Final answer
    x = 59,025.65

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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.