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Finding the Fourth Proportional to 211,510.69, 317,186.53 and 85,108.02

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Solution

The fourth proportional to 211,510.69, 317,186.53 and 85,108.02 is: 127,630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,510.69 : 317,186.53 = 85,108.02 : x
  2. Step 2: Convert to fraction form
    211,510.69/317,186.53 = 85,108.02/x
  3. Step 3: Cross multiply
    211,510.69x = 317,186.53 × 85,108.02
  4. Step 4: Simplify right side
    211,510.69x = 26,995,116,615.48
  5. Step 5: Solve for x
    x = 26,995,116,615.48/211,510.69
  6. Step 6: Final answer
    x = 127,630.03

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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.