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Finding the Fourth Proportional to 234,856, 352,210 and 77,047.68

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Solution

The fourth proportional to 234,856, 352,210 and 77,047.68 is: 115,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,856 : 352,210 = 77,047.68 : x
  2. Step 2: Convert to fraction form
    234,856/352,210 = 77,047.68/x
  3. Step 3: Cross multiply
    234,856x = 352,210 × 77,047.68
  4. Step 4: Simplify right side
    234,856x = 27,136,963,372.80
  5. Step 5: Solve for x
    x = 27,136,963,372.80/234,856
  6. Step 6: Final answer
    x = 115,547.24

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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.