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Finding the Fourth Proportional to 76,710.84, 105,806.43 and 51,204.35

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Solution

The fourth proportional to 76,710.84, 105,806.43 and 51,204.35 is: 70,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,710.84 : 105,806.43 = 51,204.35 : x
  2. Step 2: Convert to fraction form
    76,710.84/105,806.43 = 51,204.35/x
  3. Step 3: Cross multiply
    76,710.84x = 105,806.43 × 51,204.35
  4. Step 4: Simplify right side
    76,710.84x = 5,417,748,944.94
  5. Step 5: Solve for x
    x = 5,417,748,944.94/76,710.84
  6. Step 6: Final answer
    x = 70,625.60

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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.