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Finding the Fourth Proportional to 259,472.94, 389,225.82 and 109,693.51

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Solution

The fourth proportional to 259,472.94, 389,225.82 and 109,693.51 is: 164,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,472.94 : 389,225.82 = 109,693.51 : x
  2. Step 2: Convert to fraction form
    259,472.94/389,225.82 = 109,693.51/x
  3. Step 3: Cross multiply
    259,472.94x = 389,225.82 × 109,693.51
  4. Step 4: Simplify right side
    259,472.94x = 42,695,545,816.71
  5. Step 5: Solve for x
    x = 42,695,545,816.71/259,472.94
  6. Step 6: Final answer
    x = 164,547.20

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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.