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Finding the Fourth Proportional to 140,463.90, 210,580.42 and 65,547

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Solution

The fourth proportional to 140,463.90, 210,580.42 and 65,547 is: 98,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,463.90 : 210,580.42 = 65,547 : x
  2. Step 2: Convert to fraction form
    140,463.90/210,580.42 = 65,547/x
  3. Step 3: Cross multiply
    140,463.90x = 210,580.42 × 65,547
  4. Step 4: Simplify right side
    140,463.90x = 13,802,914,789.74
  5. Step 5: Solve for x
    x = 13,802,914,789.74/140,463.90
  6. Step 6: Final answer
    x = 98,266.63

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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.