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Finding the Fourth Proportional to 84,783.84, 117,005.76 and 48,978.60

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Solution

The fourth proportional to 84,783.84, 117,005.76 and 48,978.60 is: 67,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,783.84 : 117,005.76 = 48,978.60 : x
  2. Step 2: Convert to fraction form
    84,783.84/117,005.76 = 48,978.60/x
  3. Step 3: Cross multiply
    84,783.84x = 117,005.76 × 48,978.60
  4. Step 4: Simplify right side
    84,783.84x = 5,730,778,316.74
  5. Step 5: Solve for x
    x = 5,730,778,316.74/84,783.84
  6. Step 6: Final answer
    x = 67,592.81

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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.