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Finding the Fourth Proportional to 242,315.47, 334,426.69 and 138,989.98

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Solution

The fourth proportional to 242,315.47, 334,426.69 and 138,989.98 is: 191,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,315.47 : 334,426.69 = 138,989.98 : x
  2. Step 2: Convert to fraction form
    242,315.47/334,426.69 = 138,989.98/x
  3. Step 3: Cross multiply
    242,315.47x = 334,426.69 × 138,989.98
  4. Step 4: Simplify right side
    242,315.47x = 46,481,959,025.12
  5. Step 5: Solve for x
    x = 46,481,959,025.12/242,315.47
  6. Step 6: Final answer
    x = 191,824.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.