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Finding the Fourth Proportional to 165,915.84, 228,966.24 and 90,468.16

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Solution

The fourth proportional to 165,915.84, 228,966.24 and 90,468.16 is: 124,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,915.84 : 228,966.24 = 90,468.16 : x
  2. Step 2: Convert to fraction form
    165,915.84/228,966.24 = 90,468.16/x
  3. Step 3: Cross multiply
    165,915.84x = 228,966.24 × 90,468.16
  4. Step 4: Simplify right side
    165,915.84x = 20,714,154,434.92
  5. Step 5: Solve for x
    x = 20,714,154,434.92/165,915.84
  6. Step 6: Final answer
    x = 124,847.36

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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.