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Finding the Fourth Proportional to 100,295.83, 138,423.49 and 64,012.94

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Solution

The fourth proportional to 100,295.83, 138,423.49 and 64,012.94 is: 88,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,295.83 : 138,423.49 = 64,012.94 : x
  2. Step 2: Convert to fraction form
    100,295.83/138,423.49 = 64,012.94/x
  3. Step 3: Cross multiply
    100,295.83x = 138,423.49 × 64,012.94
  4. Step 4: Simplify right side
    100,295.83x = 8,860,894,559.96
  5. Step 5: Solve for x
    x = 8,860,894,559.96/100,295.83
  6. Step 6: Final answer
    x = 88,347.59

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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.