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Finding the Fourth Proportional to 215,307.76, 322,962.36 and 65,549.20

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Solution

The fourth proportional to 215,307.76, 322,962.36 and 65,549.20 is: 98,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,307.76 : 322,962.36 = 65,549.20 : x
  2. Step 2: Convert to fraction form
    215,307.76/322,962.36 = 65,549.20/x
  3. Step 3: Cross multiply
    215,307.76x = 322,962.36 × 65,549.20
  4. Step 4: Simplify right side
    215,307.76x = 21,169,924,328.11
  5. Step 5: Solve for x
    x = 21,169,924,328.11/215,307.76
  6. Step 6: Final answer
    x = 98,324.02

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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.