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Finding the Fourth Proportional to 210,949.16, 316,250.40 and 98,573.84

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Solution

The fourth proportional to 210,949.16, 316,250.40 and 98,573.84 is: 147,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,949.16 : 316,250.40 = 98,573.84 : x
  2. Step 2: Convert to fraction form
    210,949.16/316,250.40 = 98,573.84/x
  3. Step 3: Cross multiply
    210,949.16x = 316,250.40 × 98,573.84
  4. Step 4: Simplify right side
    210,949.16x = 31,174,016,329.54
  5. Step 5: Solve for x
    x = 31,174,016,329.54/210,949.16
  6. Step 6: Final answer
    x = 147,779.76

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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.