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Finding the Fourth Proportional to 256,679.65, 385,045.87 and 96,890.17

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Solution

The fourth proportional to 256,679.65, 385,045.87 and 96,890.17 is: 145,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,679.65 : 385,045.87 = 96,890.17 : x
  2. Step 2: Convert to fraction form
    256,679.65/385,045.87 = 96,890.17/x
  3. Step 3: Cross multiply
    256,679.65x = 385,045.87 × 96,890.17
  4. Step 4: Simplify right side
    256,679.65x = 37,307,159,802.10
  5. Step 5: Solve for x
    x = 37,307,159,802.10/256,679.65
  6. Step 6: Final answer
    x = 145,345.22

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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.