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Finding the Fourth Proportional to 130,910.41, 180,656.36 and 71,294.41

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Solution

The fourth proportional to 130,910.41, 180,656.36 and 71,294.41 is: 98,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,910.41 : 180,656.36 = 71,294.41 : x
  2. Step 2: Convert to fraction form
    130,910.41/180,656.36 = 71,294.41/x
  3. Step 3: Cross multiply
    130,910.41x = 180,656.36 × 71,294.41
  4. Step 4: Simplify right side
    130,910.41x = 12,879,788,598.95
  5. Step 5: Solve for x
    x = 12,879,788,598.95/130,910.41
  6. Step 6: Final answer
    x = 98,386.28

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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.