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Finding the Fourth Proportional to 205,228.52, 307,890.62 and 70,294.04

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Solution

The fourth proportional to 205,228.52, 307,890.62 and 70,294.04 is: 105,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,228.52 : 307,890.62 = 70,294.04 : x
  2. Step 2: Convert to fraction form
    205,228.52/307,890.62 = 70,294.04/x
  3. Step 3: Cross multiply
    205,228.52x = 307,890.62 × 70,294.04
  4. Step 4: Simplify right side
    205,228.52x = 21,642,875,085.17
  5. Step 5: Solve for x
    x = 21,642,875,085.17/205,228.52
  6. Step 6: Final answer
    x = 105,457.44

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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.