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Finding the Fourth Proportional to 152,549.87, 210,492.98 and 101,638.53

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Solution

The fourth proportional to 152,549.87, 210,492.98 and 101,638.53 is: 140,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,549.87 : 210,492.98 = 101,638.53 : x
  2. Step 2: Convert to fraction form
    152,549.87/210,492.98 = 101,638.53/x
  3. Step 3: Cross multiply
    152,549.87x = 210,492.98 × 101,638.53
  4. Step 4: Simplify right side
    152,549.87x = 21,394,196,554.33
  5. Step 5: Solve for x
    x = 21,394,196,554.33/152,549.87
  6. Step 6: Final answer
    x = 140,243.96

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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.