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Finding the Fourth Proportional to 97,090.40, 145,635.60 and 65,986.40

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Solution

The fourth proportional to 97,090.40, 145,635.60 and 65,986.40 is: 98,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,090.40 : 145,635.60 = 65,986.40 : x
  2. Step 2: Convert to fraction form
    97,090.40/145,635.60 = 65,986.40/x
  3. Step 3: Cross multiply
    97,090.40x = 145,635.60 × 65,986.40
  4. Step 4: Simplify right side
    97,090.40x = 9,609,968,955.84
  5. Step 5: Solve for x
    x = 9,609,968,955.84/97,090.40
  6. Step 6: Final answer
    x = 98,979.60

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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.