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Finding the Fourth Proportional to 210,745.26, 316,117.53 and 98,387.82

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Solution

The fourth proportional to 210,745.26, 316,117.53 and 98,387.82 is: 147,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,745.26 : 316,117.53 = 98,387.82 : x
  2. Step 2: Convert to fraction form
    210,745.26/316,117.53 = 98,387.82/x
  3. Step 3: Cross multiply
    210,745.26x = 316,117.53 × 98,387.82
  4. Step 4: Simplify right side
    210,745.26x = 31,102,114,640.48
  5. Step 5: Solve for x
    x = 31,102,114,640.48/210,745.26
  6. Step 6: Final answer
    x = 147,581.56

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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.