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Finding the Fourth Proportional to 67,638.40, 101,457.60 and 64,412.80

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Solution

The fourth proportional to 67,638.40, 101,457.60 and 64,412.80 is: 96,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,638.40 : 101,457.60 = 64,412.80 : x
  2. Step 2: Convert to fraction form
    67,638.40/101,457.60 = 64,412.80/x
  3. Step 3: Cross multiply
    67,638.40x = 101,457.60 × 64,412.80
  4. Step 4: Simplify right side
    67,638.40x = 6,535,168,097.28
  5. Step 5: Solve for x
    x = 6,535,168,097.28/67,638.40
  6. Step 6: Final answer
    x = 96,619.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.