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Finding the Fourth Proportional to 255,686.64, 383,585.30 and 97,915.10

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Solution

The fourth proportional to 255,686.64, 383,585.30 and 97,915.10 is: 146,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,686.64 : 383,585.30 = 97,915.10 : x
  2. Step 2: Convert to fraction form
    255,686.64/383,585.30 = 97,915.10/x
  3. Step 3: Cross multiply
    255,686.64x = 383,585.30 × 97,915.10
  4. Step 4: Simplify right side
    255,686.64x = 37,558,793,008.03
  5. Step 5: Solve for x
    x = 37,558,793,008.03/255,686.64
  6. Step 6: Final answer
    x = 146,893.84

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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.