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Finding the Fourth Proportional to 102,510, 141,464.88 and 57,798

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Solution

The fourth proportional to 102,510, 141,464.88 and 57,798 is: 79,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,510 : 141,464.88 = 57,798 : x
  2. Step 2: Convert to fraction form
    102,510/141,464.88 = 57,798/x
  3. Step 3: Cross multiply
    102,510x = 141,464.88 × 57,798
  4. Step 4: Simplify right side
    102,510x = 8,176,387,134.24
  5. Step 5: Solve for x
    x = 8,176,387,134.24/102,510
  6. Step 6: Final answer
    x = 79,761.85

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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.