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Finding the Fourth Proportional to 98,520.40, 147,780.60 and 67,416.40

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Solution

The fourth proportional to 98,520.40, 147,780.60 and 67,416.40 is: 101,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,520.40 : 147,780.60 = 67,416.40 : x
  2. Step 2: Convert to fraction form
    98,520.40/147,780.60 = 67,416.40/x
  3. Step 3: Cross multiply
    98,520.40x = 147,780.60 × 67,416.40
  4. Step 4: Simplify right side
    98,520.40x = 9,962,836,041.84
  5. Step 5: Solve for x
    x = 9,962,836,041.84/98,520.40
  6. Step 6: Final answer
    x = 101,124.60

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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.