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Finding the Fourth Proportional to 210,806.10, 316,099.80 and 77,617.80

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Solution

The fourth proportional to 210,806.10, 316,099.80 and 77,617.80 is: 116,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,806.10 : 316,099.80 = 77,617.80 : x
  2. Step 2: Convert to fraction form
    210,806.10/316,099.80 = 77,617.80/x
  3. Step 3: Cross multiply
    210,806.10x = 316,099.80 × 77,617.80
  4. Step 4: Simplify right side
    210,806.10x = 24,534,971,056.44
  5. Step 5: Solve for x
    x = 24,534,971,056.44/210,806.10
  6. Step 6: Final answer
    x = 116,386.44

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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.