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Finding the Fourth Proportional to 101,154, 139,596.90 and 56,442

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Solution

The fourth proportional to 101,154, 139,596.90 and 56,442 is: 77,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,154 : 139,596.90 = 56,442 : x
  2. Step 2: Convert to fraction form
    101,154/139,596.90 = 56,442/x
  3. Step 3: Cross multiply
    101,154x = 139,596.90 × 56,442
  4. Step 4: Simplify right side
    101,154x = 7,879,128,229.80
  5. Step 5: Solve for x
    x = 7,879,128,229.80/101,154
  6. Step 6: Final answer
    x = 77,892.40

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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.