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Finding the Fourth Proportional to 102,025.20, 153,037.80 and 78,697.20

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Solution

The fourth proportional to 102,025.20, 153,037.80 and 78,697.20 is: 118,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,025.20 : 153,037.80 = 78,697.20 : x
  2. Step 2: Convert to fraction form
    102,025.20/153,037.80 = 78,697.20/x
  3. Step 3: Cross multiply
    102,025.20x = 153,037.80 × 78,697.20
  4. Step 4: Simplify right side
    102,025.20x = 12,043,646,354.16
  5. Step 5: Solve for x
    x = 12,043,646,354.16/102,025.20
  6. Step 6: Final answer
    x = 118,045.80

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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.