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Finding the Fourth Proportional to 144,624, 216,939.84 and 46,128

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Solution

The fourth proportional to 144,624, 216,939.84 and 46,128 is: 69,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,624 : 216,939.84 = 46,128 : x
  2. Step 2: Convert to fraction form
    144,624/216,939.84 = 46,128/x
  3. Step 3: Cross multiply
    144,624x = 216,939.84 × 46,128
  4. Step 4: Simplify right side
    144,624x = 10,007,000,939.52
  5. Step 5: Solve for x
    x = 10,007,000,939.52/144,624
  6. Step 6: Final answer
    x = 69,193.22

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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.