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Finding the Fourth Proportional to 102,214.60, 153,151.80 and 74,099.50

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Solution

The fourth proportional to 102,214.60, 153,151.80 and 74,099.50 is: 111,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,214.60 : 153,151.80 = 74,099.50 : x
  2. Step 2: Convert to fraction form
    102,214.60/153,151.80 = 74,099.50/x
  3. Step 3: Cross multiply
    102,214.60x = 153,151.80 × 74,099.50
  4. Step 4: Simplify right side
    102,214.60x = 11,348,471,804.10
  5. Step 5: Solve for x
    x = 11,348,471,804.10/102,214.60
  6. Step 6: Final answer
    x = 111,025.94

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1.5x scale

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.