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Finding the Fourth Proportional to 83,602.58, 115,370 and 47,303.64

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Solution

The fourth proportional to 83,602.58, 115,370 and 47,303.64 is: 65,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602.58 : 115,370 = 47,303.64 : x
  2. Step 2: Convert to fraction form
    83,602.58/115,370 = 47,303.64/x
  3. Step 3: Cross multiply
    83,602.58x = 115,370 × 47,303.64
  4. Step 4: Simplify right side
    83,602.58x = 5,457,420,946.80
  5. Step 5: Solve for x
    x = 5,457,420,946.80/83,602.58
  6. Step 6: Final answer
    x = 65,278.14

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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.