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Finding the Fourth Proportional to 238,332.66, 328,761.72 and 142,784.01

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Solution

The fourth proportional to 238,332.66, 328,761.72 and 142,784.01 is: 196,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,332.66 : 328,761.72 = 142,784.01 : x
  2. Step 2: Convert to fraction form
    238,332.66/328,761.72 = 142,784.01/x
  3. Step 3: Cross multiply
    238,332.66x = 328,761.72 × 142,784.01
  4. Step 4: Simplify right side
    238,332.66x = 46,941,916,716.10
  5. Step 5: Solve for x
    x = 46,941,916,716.10/238,332.66
  6. Step 6: Final answer
    x = 196,959.65

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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.