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Finding the Fourth Proportional to 144,036.16, 216,057.44 and 38,856

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Solution

The fourth proportional to 144,036.16, 216,057.44 and 38,856 is: 58,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,036.16 : 216,057.44 = 38,856 : x
  2. Step 2: Convert to fraction form
    144,036.16/216,057.44 = 38,856/x
  3. Step 3: Cross multiply
    144,036.16x = 216,057.44 × 38,856
  4. Step 4: Simplify right side
    144,036.16x = 8,395,127,888.64
  5. Step 5: Solve for x
    x = 8,395,127,888.64/144,036.16
  6. Step 6: Final answer
    x = 58,284.86

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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.