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Finding the Fourth Proportional to 219,572.84, 302,898.98 and 138,864.36

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Solution

The fourth proportional to 219,572.84, 302,898.98 and 138,864.36 is: 191,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,572.84 : 302,898.98 = 138,864.36 : x
  2. Step 2: Convert to fraction form
    219,572.84/302,898.98 = 138,864.36/x
  3. Step 3: Cross multiply
    219,572.84x = 302,898.98 × 138,864.36
  4. Step 4: Simplify right side
    219,572.84x = 42,061,873,002.35
  5. Step 5: Solve for x
    x = 42,061,873,002.35/219,572.84
  6. Step 6: Final answer
    x = 191,562.28

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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.