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Finding the Fourth Proportional to 51,827, 77,740.68 and 14,390

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Solution

The fourth proportional to 51,827, 77,740.68 and 14,390 is: 21,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,827 : 77,740.68 = 14,390 : x
  2. Step 2: Convert to fraction form
    51,827/77,740.68 = 14,390/x
  3. Step 3: Cross multiply
    51,827x = 77,740.68 × 14,390
  4. Step 4: Simplify right side
    51,827x = 1,118,688,385.20
  5. Step 5: Solve for x
    x = 1,118,688,385.20/51,827
  6. Step 6: Final answer
    x = 21,585.05

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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.