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Finding the Fourth Proportional to 126,684, 174,830.40 and 76,386.24

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Solution

The fourth proportional to 126,684, 174,830.40 and 76,386.24 is: 105,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,684 : 174,830.40 = 76,386.24 : x
  2. Step 2: Convert to fraction form
    126,684/174,830.40 = 76,386.24/x
  3. Step 3: Cross multiply
    126,684x = 174,830.40 × 76,386.24
  4. Step 4: Simplify right side
    126,684x = 13,354,636,893.70
  5. Step 5: Solve for x
    x = 13,354,636,893.70/126,684
  6. Step 6: Final answer
    x = 105,416.92

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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.