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Finding the Fourth Proportional to 84,854.84, 117,021.42 and 57,671.64

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Solution

The fourth proportional to 84,854.84, 117,021.42 and 57,671.64 is: 79,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,854.84 : 117,021.42 = 57,671.64 : x
  2. Step 2: Convert to fraction form
    84,854.84/117,021.42 = 57,671.64/x
  3. Step 3: Cross multiply
    84,854.84x = 117,021.42 × 57,671.64
  4. Step 4: Simplify right side
    84,854.84x = 6,748,817,206.53
  5. Step 5: Solve for x
    x = 6,748,817,206.53/84,854.84
  6. Step 6: Final answer
    x = 79,533.67

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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.