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Finding the Fourth Proportional to 100,165.63, 138,228.09 and 54,225.31

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Solution

The fourth proportional to 100,165.63, 138,228.09 and 54,225.31 is: 74,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,165.63 : 138,228.09 = 54,225.31 : x
  2. Step 2: Convert to fraction form
    100,165.63/138,228.09 = 54,225.31/x
  3. Step 3: Cross multiply
    100,165.63x = 138,228.09 × 54,225.31
  4. Step 4: Simplify right side
    100,165.63x = 7,495,461,030.96
  5. Step 5: Solve for x
    x = 7,495,461,030.96/100,165.63
  6. Step 6: Final answer
    x = 74,830.67

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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.