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Finding the Fourth Proportional to 98,009.01, 147,013.65 and 64,939.14

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Solution

The fourth proportional to 98,009.01, 147,013.65 and 64,939.14 is: 97,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,009.01 : 147,013.65 = 64,939.14 : x
  2. Step 2: Convert to fraction form
    98,009.01/147,013.65 = 64,939.14/x
  3. Step 3: Cross multiply
    98,009.01x = 147,013.65 × 64,939.14
  4. Step 4: Simplify right side
    98,009.01x = 9,546,939,999.26
  5. Step 5: Solve for x
    x = 9,546,939,999.26/98,009.01
  6. Step 6: Final answer
    x = 97,408.80

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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.