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Finding the Fourth Proportional to 101,102.34, 139,522.65 and 55,782.30

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Solution

The fourth proportional to 101,102.34, 139,522.65 and 55,782.30 is: 76,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,102.34 : 139,522.65 = 55,782.30 : x
  2. Step 2: Convert to fraction form
    101,102.34/139,522.65 = 55,782.30/x
  3. Step 3: Cross multiply
    101,102.34x = 139,522.65 × 55,782.30
  4. Step 4: Simplify right side
    101,102.34x = 7,782,894,319.10
  5. Step 5: Solve for x
    x = 7,782,894,319.10/101,102.34
  6. Step 6: Final answer
    x = 76,980.36

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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.