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Finding the Fourth Proportional to 242,643.36, 363,980.52 and 74,169.63

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Solution

The fourth proportional to 242,643.36, 363,980.52 and 74,169.63 is: 111,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,643.36 : 363,980.52 = 74,169.63 : x
  2. Step 2: Convert to fraction form
    242,643.36/363,980.52 = 74,169.63/x
  3. Step 3: Cross multiply
    242,643.36x = 363,980.52 × 74,169.63
  4. Step 4: Simplify right side
    242,643.36x = 26,996,300,495.61
  5. Step 5: Solve for x
    x = 26,996,300,495.61/242,643.36
  6. Step 6: Final answer
    x = 111,259.18

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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.