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Finding the Fourth Proportional to 51,435, 77,156.82 and 14,499

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Solution

The fourth proportional to 51,435, 77,156.82 and 14,499 is: 21,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,435 : 77,156.82 = 14,499 : x
  2. Step 2: Convert to fraction form
    51,435/77,156.82 = 14,499/x
  3. Step 3: Cross multiply
    51,435x = 77,156.82 × 14,499
  4. Step 4: Simplify right side
    51,435x = 1,118,696,733.18
  5. Step 5: Solve for x
    x = 1,118,696,733.18/51,435
  6. Step 6: Final answer
    x = 21,749.72

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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.