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Finding the Fourth Proportional to 144,064.80, 215,998.80 and 65,136

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Solution

The fourth proportional to 144,064.80, 215,998.80 and 65,136 is: 97,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,064.80 : 215,998.80 = 65,136 : x
  2. Step 2: Convert to fraction form
    144,064.80/215,998.80 = 65,136/x
  3. Step 3: Cross multiply
    144,064.80x = 215,998.80 × 65,136
  4. Step 4: Simplify right side
    144,064.80x = 14,069,297,836.80
  5. Step 5: Solve for x
    x = 14,069,297,836.80/144,064.80
  6. Step 6: Final answer
    x = 97,659.51

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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.