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Finding the Fourth Proportional to 152,058, 209,840 and 83,147.64

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Solution

The fourth proportional to 152,058, 209,840 and 83,147.64 is: 114,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,058 : 209,840 = 83,147.64 : x
  2. Step 2: Convert to fraction form
    152,058/209,840 = 83,147.64/x
  3. Step 3: Cross multiply
    152,058x = 209,840 × 83,147.64
  4. Step 4: Simplify right side
    152,058x = 17,447,700,777.60
  5. Step 5: Solve for x
    x = 17,447,700,777.60/152,058
  6. Step 6: Final answer
    x = 114,743.72

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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.