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Finding the Fourth Proportional to 105,424.70, 145,487.16 and 57,677

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Solution

The fourth proportional to 105,424.70, 145,487.16 and 57,677 is: 79,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,424.70 : 145,487.16 = 57,677 : x
  2. Step 2: Convert to fraction form
    105,424.70/145,487.16 = 57,677/x
  3. Step 3: Cross multiply
    105,424.70x = 145,487.16 × 57,677
  4. Step 4: Simplify right side
    105,424.70x = 8,391,262,927.32
  5. Step 5: Solve for x
    x = 8,391,262,927.32/105,424.70
  6. Step 6: Final answer
    x = 79,594.85

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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.