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Finding the Fourth Proportional to 76,114.67, 105,038.45 and 42,125.50

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Solution

The fourth proportional to 76,114.67, 105,038.45 and 42,125.50 is: 58,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,114.67 : 105,038.45 = 42,125.50 : x
  2. Step 2: Convert to fraction form
    76,114.67/105,038.45 = 42,125.50/x
  3. Step 3: Cross multiply
    76,114.67x = 105,038.45 × 42,125.50
  4. Step 4: Simplify right side
    76,114.67x = 4,424,797,014.85
  5. Step 5: Solve for x
    x = 4,424,797,014.85/76,114.67
  6. Step 6: Final answer
    x = 58,133.30

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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.