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Finding the Fourth Proportional to 144,507.80, 216,762.06 and 77,979.24

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Solution

The fourth proportional to 144,507.80, 216,762.06 and 77,979.24 is: 116,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,507.80 : 216,762.06 = 77,979.24 : x
  2. Step 2: Convert to fraction form
    144,507.80/216,762.06 = 77,979.24/x
  3. Step 3: Cross multiply
    144,507.80x = 216,762.06 × 77,979.24
  4. Step 4: Simplify right side
    144,507.80x = 16,902,940,699.63
  5. Step 5: Solve for x
    x = 16,902,940,699.63/144,507.80
  6. Step 6: Final answer
    x = 116,969.05

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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.