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Finding the Fourth Proportional to 218,813.76, 328,836.24 and 130,083.12

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Solution

The fourth proportional to 218,813.76, 328,836.24 and 130,083.12 is: 195,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,813.76 : 328,836.24 = 130,083.12 : x
  2. Step 2: Convert to fraction form
    218,813.76/328,836.24 = 130,083.12/x
  3. Step 3: Cross multiply
    218,813.76x = 328,836.24 × 130,083.12
  4. Step 4: Simplify right side
    218,813.76x = 42,776,044,068.27
  5. Step 5: Solve for x
    x = 42,776,044,068.27/218,813.76
  6. Step 6: Final answer
    x = 195,490.65

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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.