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Finding the Fourth Proportional to 78,539.20, 109,721.60 and 78,539.20

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Solution

The fourth proportional to 78,539.20, 109,721.60 and 78,539.20 is: 109,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,539.20 : 109,721.60 = 78,539.20 : x
  2. Step 2: Convert to fraction form
    78,539.20/109,721.60 = 78,539.20/x
  3. Step 3: Cross multiply
    78,539.20x = 109,721.60 × 78,539.20
  4. Step 4: Simplify right side
    78,539.20x = 8,617,446,686.72
  5. Step 5: Solve for x
    x = 8,617,446,686.72/78,539.20
  6. Step 6: Final answer
    x = 109,721.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.