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Finding the Fourth Proportional to 103,200, 142,446.40 and 67,395.52

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Solution

The fourth proportional to 103,200, 142,446.40 and 67,395.52 is: 93,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,200 : 142,446.40 = 67,395.52 : x
  2. Step 2: Convert to fraction form
    103,200/142,446.40 = 67,395.52/x
  3. Step 3: Cross multiply
    103,200x = 142,446.40 × 67,395.52
  4. Step 4: Simplify right side
    103,200x = 9,600,249,200.13
  5. Step 5: Solve for x
    x = 9,600,249,200.13/103,200
  6. Step 6: Final answer
    x = 93,025.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.