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Finding the Fourth Proportional to 152,122.32, 209,864.52 and 101,837.52

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Solution

The fourth proportional to 152,122.32, 209,864.52 and 101,837.52 is: 140,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,122.32 : 209,864.52 = 101,837.52 : x
  2. Step 2: Convert to fraction form
    152,122.32/209,864.52 = 101,837.52/x
  3. Step 3: Cross multiply
    152,122.32x = 209,864.52 × 101,837.52
  4. Step 4: Simplify right side
    152,122.32x = 21,372,082,252.79
  5. Step 5: Solve for x
    x = 21,372,082,252.79/152,122.32
  6. Step 6: Final answer
    x = 140,492.74

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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.