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Finding the Fourth Proportional to 153,534, 230,301 and 65,982

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Solution

The fourth proportional to 153,534, 230,301 and 65,982 is: 98,973

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,534 : 230,301 = 65,982 : x
  2. Step 2: Convert to fraction form
    153,534/230,301 = 65,982/x
  3. Step 3: Cross multiply
    153,534x = 230,301 × 65,982
  4. Step 4: Simplify right side
    153,534x = 15,195,720,582
  5. Step 5: Solve for x
    x = 15,195,720,582/153,534
  6. Step 6: Final answer
    x = 98,973

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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.