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Finding the Fourth Proportional to 100,712.34, 138,989.25 and 56,000.34

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Solution

The fourth proportional to 100,712.34, 138,989.25 and 56,000.34 is: 77,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,712.34 : 138,989.25 = 56,000.34 : x
  2. Step 2: Convert to fraction form
    100,712.34/138,989.25 = 56,000.34/x
  3. Step 3: Cross multiply
    100,712.34x = 138,989.25 × 56,000.34
  4. Step 4: Simplify right side
    100,712.34x = 7,783,445,256.35
  5. Step 5: Solve for x
    x = 7,783,445,256.35/100,712.34
  6. Step 6: Final answer
    x = 77,283.93

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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.