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Finding the Fourth Proportional to 130,988.92, 180,751.50 and 74,389.24

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Solution

The fourth proportional to 130,988.92, 180,751.50 and 74,389.24 is: 102,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,988.92 : 180,751.50 = 74,389.24 : x
  2. Step 2: Convert to fraction form
    130,988.92/180,751.50 = 74,389.24/x
  3. Step 3: Cross multiply
    130,988.92x = 180,751.50 × 74,389.24
  4. Step 4: Simplify right side
    130,988.92x = 13,445,966,713.86
  5. Step 5: Solve for x
    x = 13,445,966,713.86/130,988.92
  6. Step 6: Final answer
    x = 102,649.65

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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.