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Finding the Fourth Proportional to 140,886.90, 194,420.84 and 77,223.32

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Solution

The fourth proportional to 140,886.90, 194,420.84 and 77,223.32 is: 106,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,886.90 : 194,420.84 = 77,223.32 : x
  2. Step 2: Convert to fraction form
    140,886.90/194,420.84 = 77,223.32/x
  3. Step 3: Cross multiply
    140,886.90x = 194,420.84 × 77,223.32
  4. Step 4: Simplify right side
    140,886.90x = 15,013,822,741.99
  5. Step 5: Solve for x
    x = 15,013,822,741.99/140,886.90
  6. Step 6: Final answer
    x = 106,566.49

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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.