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Finding the Fourth Proportional to 76,101, 105,019.38 and 42,567

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Solution

The fourth proportional to 76,101, 105,019.38 and 42,567 is: 58,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,101 : 105,019.38 = 42,567 : x
  2. Step 2: Convert to fraction form
    76,101/105,019.38 = 42,567/x
  3. Step 3: Cross multiply
    76,101x = 105,019.38 × 42,567
  4. Step 4: Simplify right side
    76,101x = 4,470,359,948.46
  5. Step 5: Solve for x
    x = 4,470,359,948.46/76,101
  6. Step 6: Final answer
    x = 58,742.46

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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.