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Finding the Fourth Proportional to 76,852.59, 106,064.19 and 57,437.79

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Solution

The fourth proportional to 76,852.59, 106,064.19 and 57,437.79 is: 79,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,852.59 : 106,064.19 = 57,437.79 : x
  2. Step 2: Convert to fraction form
    76,852.59/106,064.19 = 57,437.79/x
  3. Step 3: Cross multiply
    76,852.59x = 106,064.19 × 57,437.79
  4. Step 4: Simplify right side
    76,852.59x = 6,092,092,671.74
  5. Step 5: Solve for x
    x = 6,092,092,671.74/76,852.59
  6. Step 6: Final answer
    x = 79,269.84

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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.