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Finding the Fourth Proportional to 76,850, 106,140.48 and 51,655.76

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Solution

The fourth proportional to 76,850, 106,140.48 and 51,655.76 is: 71,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,850 : 106,140.48 = 51,655.76 : x
  2. Step 2: Convert to fraction form
    76,850/106,140.48 = 51,655.76/x
  3. Step 3: Cross multiply
    76,850x = 106,140.48 × 51,655.76
  4. Step 4: Simplify right side
    76,850x = 5,482,767,161.16
  5. Step 5: Solve for x
    x = 5,482,767,161.16/76,850
  6. Step 6: Final answer
    x = 71,343.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.