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Finding the Fourth Proportional to 130,911, 180,657.20 and 71,295

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Solution

The fourth proportional to 130,911, 180,657.20 and 71,295 is: 98,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,911 : 180,657.20 = 71,295 : x
  2. Step 2: Convert to fraction form
    130,911/180,657.20 = 71,295/x
  3. Step 3: Cross multiply
    130,911x = 180,657.20 × 71,295
  4. Step 4: Simplify right side
    130,911x = 12,879,955,074
  5. Step 5: Solve for x
    x = 12,879,955,074/130,911
  6. Step 6: Final answer
    x = 98,387.11

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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.