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Finding the Fourth Proportional to 76,378.85, 105,403.93 and 42,389.53

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Solution

The fourth proportional to 76,378.85, 105,403.93 and 42,389.53 is: 58,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,378.85 : 105,403.93 = 42,389.53 : x
  2. Step 2: Convert to fraction form
    76,378.85/105,403.93 = 42,389.53/x
  3. Step 3: Cross multiply
    76,378.85x = 105,403.93 × 42,389.53
  4. Step 4: Simplify right side
    76,378.85x = 4,468,022,921.81
  5. Step 5: Solve for x
    x = 4,468,022,921.81/76,378.85
  6. Step 6: Final answer
    x = 58,498.17

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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.