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Finding the Fourth Proportional to 130,967.70, 180,736.16 and 76,523.07

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Solution

The fourth proportional to 130,967.70, 180,736.16 and 76,523.07 is: 105,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,967.70 : 180,736.16 = 76,523.07 : x
  2. Step 2: Convert to fraction form
    130,967.70/180,736.16 = 76,523.07/x
  3. Step 3: Cross multiply
    130,967.70x = 180,736.16 × 76,523.07
  4. Step 4: Simplify right side
    130,967.70x = 13,830,485,440.60
  5. Step 5: Solve for x
    x = 13,830,485,440.60/130,967.70
  6. Step 6: Final answer
    x = 105,602.26

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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.