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Finding the Fourth Proportional to 83,347.40, 115,020.78 and 47,050.76

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Solution

The fourth proportional to 83,347.40, 115,020.78 and 47,050.76 is: 64,930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,347.40 : 115,020.78 = 47,050.76 : x
  2. Step 2: Convert to fraction form
    83,347.40/115,020.78 = 47,050.76/x
  3. Step 3: Cross multiply
    83,347.40x = 115,020.78 × 47,050.76
  4. Step 4: Simplify right side
    83,347.40x = 5,411,815,114.79
  5. Step 5: Solve for x
    x = 5,411,815,114.79/83,347.40
  6. Step 6: Final answer
    x = 64,930.82

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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.