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Finding the Fourth Proportional to 51,393, 77,089.50 and 14,457

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Solution

The fourth proportional to 51,393, 77,089.50 and 14,457 is: 21,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,393 : 77,089.50 = 14,457 : x
  2. Step 2: Convert to fraction form
    51,393/77,089.50 = 14,457/x
  3. Step 3: Cross multiply
    51,393x = 77,089.50 × 14,457
  4. Step 4: Simplify right side
    51,393x = 1,114,482,901.50
  5. Step 5: Solve for x
    x = 1,114,482,901.50/51,393
  6. Step 6: Final answer
    x = 21,685.50

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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.