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Finding the Fourth Proportional to 130,970.96, 180,682.44 and 88,514

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Solution

The fourth proportional to 130,970.96, 180,682.44 and 88,514 is: 122,110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,970.96 : 180,682.44 = 88,514 : x
  2. Step 2: Convert to fraction form
    130,970.96/180,682.44 = 88,514/x
  3. Step 3: Cross multiply
    130,970.96x = 180,682.44 × 88,514
  4. Step 4: Simplify right side
    130,970.96x = 15,992,925,494.16
  5. Step 5: Solve for x
    x = 15,992,925,494.16/130,970.96
  6. Step 6: Final answer
    x = 122,110.47

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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.