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Finding the Fourth Proportional to 153,967.33, 212,428.42 and 89,424.10

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Solution

The fourth proportional to 153,967.33, 212,428.42 and 89,424.10 is: 123,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,967.33 : 212,428.42 = 89,424.10 : x
  2. Step 2: Convert to fraction form
    153,967.33/212,428.42 = 89,424.10/x
  3. Step 3: Cross multiply
    153,967.33x = 212,428.42 × 89,424.10
  4. Step 4: Simplify right side
    153,967.33x = 18,996,220,817.91
  5. Step 5: Solve for x
    x = 18,996,220,817.91/153,967.33
  6. Step 6: Final answer
    x = 123,378.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.