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Finding the Fourth Proportional to 53,981.60, 80,972.40 and 42,706.40

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Solution

The fourth proportional to 53,981.60, 80,972.40 and 42,706.40 is: 64,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,981.60 : 80,972.40 = 42,706.40 : x
  2. Step 2: Convert to fraction form
    53,981.60/80,972.40 = 42,706.40/x
  3. Step 3: Cross multiply
    53,981.60x = 80,972.40 × 42,706.40
  4. Step 4: Simplify right side
    53,981.60x = 3,458,039,703.36
  5. Step 5: Solve for x
    x = 3,458,039,703.36/53,981.60
  6. Step 6: Final answer
    x = 64,059.60

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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.