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Finding the Fourth Proportional to 130,999.48, 180,779.24 and 71,383.48

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Solution

The fourth proportional to 130,999.48, 180,779.24 and 71,383.48 is: 98,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,999.48 : 180,779.24 = 71,383.48 : x
  2. Step 2: Convert to fraction form
    130,999.48/180,779.24 = 71,383.48/x
  3. Step 3: Cross multiply
    130,999.48x = 180,779.24 × 71,383.48
  4. Step 4: Simplify right side
    130,999.48x = 12,904,651,262.96
  5. Step 5: Solve for x
    x = 12,904,651,262.96/130,999.48
  6. Step 6: Final answer
    x = 98,509.18

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1.5x scale

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.