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Finding the Fourth Proportional to 76,800.04, 105,978.66 and 42,343.24

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Solution

The fourth proportional to 76,800.04, 105,978.66 and 42,343.24 is: 58,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800.04 : 105,978.66 = 42,343.24 : x
  2. Step 2: Convert to fraction form
    76,800.04/105,978.66 = 42,343.24/x
  3. Step 3: Cross multiply
    76,800.04x = 105,978.66 × 42,343.24
  4. Step 4: Simplify right side
    76,800.04x = 4,487,479,835.26
  5. Step 5: Solve for x
    x = 4,487,479,835.26/76,800.04
  6. Step 6: Final answer
    x = 58,430.70

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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.