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Finding the Fourth Proportional to 219,686.51, 329,411.21 and 99,677.97

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Solution

The fourth proportional to 219,686.51, 329,411.21 and 99,677.97 is: 149,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,686.51 : 329,411.21 = 99,677.97 : x
  2. Step 2: Convert to fraction form
    219,686.51/329,411.21 = 99,677.97/x
  3. Step 3: Cross multiply
    219,686.51x = 329,411.21 × 99,677.97
  4. Step 4: Simplify right side
    219,686.51x = 32,835,041,282.38
  5. Step 5: Solve for x
    x = 32,835,041,282.38/219,686.51
  6. Step 6: Final answer
    x = 149,463.17

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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.