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Finding the Fourth Proportional to 85,421.40, 127,829.70 and 74,448.60

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Solution

The fourth proportional to 85,421.40, 127,829.70 and 74,448.60 is: 111,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,421.40 : 127,829.70 = 74,448.60 : x
  2. Step 2: Convert to fraction form
    85,421.40/127,829.70 = 74,448.60/x
  3. Step 3: Cross multiply
    85,421.40x = 127,829.70 × 74,448.60
  4. Step 4: Simplify right side
    85,421.40x = 9,516,742,203.42
  5. Step 5: Solve for x
    x = 9,516,742,203.42/85,421.40
  6. Step 6: Final answer
    x = 111,409.34

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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.