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Finding the Fourth Proportional to 76,124.40, 114,316.20 and 56,425.20

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Solution

The fourth proportional to 76,124.40, 114,316.20 and 56,425.20 is: 84,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,124.40 : 114,316.20 = 56,425.20 : x
  2. Step 2: Convert to fraction form
    76,124.40/114,316.20 = 56,425.20/x
  3. Step 3: Cross multiply
    76,124.40x = 114,316.20 × 56,425.20
  4. Step 4: Simplify right side
    76,124.40x = 6,450,314,448.24
  5. Step 5: Solve for x
    x = 6,450,314,448.24/76,124.40
  6. Step 6: Final answer
    x = 84,733.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.