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Finding the Fourth Proportional to 257,038.44, 385,223.58 and 99,110.76

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Solution

The fourth proportional to 257,038.44, 385,223.58 and 99,110.76 is: 148,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,038.44 : 385,223.58 = 99,110.76 : x
  2. Step 2: Convert to fraction form
    257,038.44/385,223.58 = 99,110.76/x
  3. Step 3: Cross multiply
    257,038.44x = 385,223.58 × 99,110.76
  4. Step 4: Simplify right side
    257,038.44x = 38,179,801,783.72
  5. Step 5: Solve for x
    x = 38,179,801,783.72/257,038.44
  6. Step 6: Final answer
    x = 148,537.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.