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Finding the Fourth Proportional to 228,863.57, 343,345.91 and 77,068.10

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Solution

The fourth proportional to 228,863.57, 343,345.91 and 77,068.10 is: 115,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,863.57 : 343,345.91 = 77,068.10 : x
  2. Step 2: Convert to fraction form
    228,863.57/343,345.91 = 77,068.10/x
  3. Step 3: Cross multiply
    228,863.57x = 343,345.91 × 77,068.10
  4. Step 4: Simplify right side
    228,863.57x = 26,461,014,824.40
  5. Step 5: Solve for x
    x = 26,461,014,824.40/228,863.57
  6. Step 6: Final answer
    x = 115,619.17

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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.