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Finding the Fourth Proportional to 265,915.32, 398,756.10 and 99,586.68

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Solution

The fourth proportional to 265,915.32, 398,756.10 and 99,586.68 is: 149,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,915.32 : 398,756.10 = 99,586.68 : x
  2. Step 2: Convert to fraction form
    265,915.32/398,756.10 = 99,586.68/x
  3. Step 3: Cross multiply
    265,915.32x = 398,756.10 × 99,586.68
  4. Step 4: Simplify right side
    265,915.32x = 39,710,796,128.75
  5. Step 5: Solve for x
    x = 39,710,796,128.75/265,915.32
  6. Step 6: Final answer
    x = 149,336.25

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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.