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Finding the Fourth Proportional to 201,643.16, 302,492.42 and 68,487.67

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Solution

The fourth proportional to 201,643.16, 302,492.42 and 68,487.67 is: 102,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643.16 : 302,492.42 = 68,487.67 : x
  2. Step 2: Convert to fraction form
    201,643.16/302,492.42 = 68,487.67/x
  3. Step 3: Cross multiply
    201,643.16x = 302,492.42 × 68,487.67
  4. Step 4: Simplify right side
    201,643.16x = 20,717,001,038.46
  5. Step 5: Solve for x
    x = 20,717,001,038.46/201,643.16
  6. Step 6: Final answer
    x = 102,740.91

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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.