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Finding the Fourth Proportional to 83,649.60, 115,407.72 and 47,813.76

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Solution

The fourth proportional to 83,649.60, 115,407.72 and 47,813.76 is: 65,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,649.60 : 115,407.72 = 47,813.76 : x
  2. Step 2: Convert to fraction form
    83,649.60/115,407.72 = 47,813.76/x
  3. Step 3: Cross multiply
    83,649.60x = 115,407.72 × 47,813.76
  4. Step 4: Simplify right side
    83,649.60x = 5,518,077,026.23
  5. Step 5: Solve for x
    x = 5,518,077,026.23/83,649.60
  6. Step 6: Final answer
    x = 65,966.57

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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.