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Finding the Fourth Proportional to 83,600.50, 115,376.80 and 47,783.70

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Solution

The fourth proportional to 83,600.50, 115,376.80 and 47,783.70 is: 65,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,600.50 : 115,376.80 = 47,783.70 : x
  2. Step 2: Convert to fraction form
    83,600.50/115,376.80 = 47,783.70/x
  3. Step 3: Cross multiply
    83,600.50x = 115,376.80 × 47,783.70
  4. Step 4: Simplify right side
    83,600.50x = 5,513,130,398.16
  5. Step 5: Solve for x
    x = 5,513,130,398.16/83,600.50
  6. Step 6: Final answer
    x = 65,946.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.