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Finding the Fourth Proportional to 216,749.98, 299,094.69 and 135,070.66

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Solution

The fourth proportional to 216,749.98, 299,094.69 and 135,070.66 is: 186,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,749.98 : 299,094.69 = 135,070.66 : x
  2. Step 2: Convert to fraction form
    216,749.98/299,094.69 = 135,070.66/x
  3. Step 3: Cross multiply
    216,749.98x = 299,094.69 × 135,070.66
  4. Step 4: Simplify right side
    216,749.98x = 40,398,917,180.80
  5. Step 5: Solve for x
    x = 40,398,917,180.80/216,749.98
  6. Step 6: Final answer
    x = 186,384.87

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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.