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Finding the Fourth Proportional to 97,212.40, 145,624.20 and 65,719.60

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Solution

The fourth proportional to 97,212.40, 145,624.20 and 65,719.60 is: 98,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,212.40 : 145,624.20 = 65,719.60 : x
  2. Step 2: Convert to fraction form
    97,212.40/145,624.20 = 65,719.60/x
  3. Step 3: Cross multiply
    97,212.40x = 145,624.20 × 65,719.60
  4. Step 4: Simplify right side
    97,212.40x = 9,570,364,174.32
  5. Step 5: Solve for x
    x = 9,570,364,174.32/97,212.40
  6. Step 6: Final answer
    x = 98,447.98

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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.