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Finding the Fourth Proportional to 98,646.13, 147,910.04 and 47,945.30

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Solution

The fourth proportional to 98,646.13, 147,910.04 and 47,945.30 is: 71,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,646.13 : 147,910.04 = 47,945.30 : x
  2. Step 2: Convert to fraction form
    98,646.13/147,910.04 = 47,945.30/x
  3. Step 3: Cross multiply
    98,646.13x = 147,910.04 × 47,945.30
  4. Step 4: Simplify right side
    98,646.13x = 7,091,590,425.91
  5. Step 5: Solve for x
    x = 7,091,590,425.91/98,646.13
  6. Step 6: Final answer
    x = 71,889.19

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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.