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Finding the Fourth Proportional to 257,038.56, 385,495.74 and 99,166.32

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Solution

The fourth proportional to 257,038.56, 385,495.74 and 99,166.32 is: 148,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,038.56 : 385,495.74 = 99,166.32 : x
  2. Step 2: Convert to fraction form
    257,038.56/385,495.74 = 99,166.32/x
  3. Step 3: Cross multiply
    257,038.56x = 385,495.74 × 99,166.32
  4. Step 4: Simplify right side
    257,038.56x = 38,228,193,911.48
  5. Step 5: Solve for x
    x = 38,228,193,911.48/257,038.56
  6. Step 6: Final answer
    x = 148,725.52

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1.5x scale

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.