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Finding the Fourth Proportional to 131,130, 180,960.36 and 71,514

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Solution

The fourth proportional to 131,130, 180,960.36 and 71,514 is: 98,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,130 : 180,960.36 = 71,514 : x
  2. Step 2: Convert to fraction form
    131,130/180,960.36 = 71,514/x
  3. Step 3: Cross multiply
    131,130x = 180,960.36 × 71,514
  4. Step 4: Simplify right side
    131,130x = 12,941,199,185.04
  5. Step 5: Solve for x
    x = 12,941,199,185.04/131,130
  6. Step 6: Final answer
    x = 98,689.84

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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.