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Finding the Fourth Proportional to 138,457.60, 208,094.42 and 114,915.92

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Solution

The fourth proportional to 138,457.60, 208,094.42 and 114,915.92 is: 172,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,457.60 : 208,094.42 = 114,915.92 : x
  2. Step 2: Convert to fraction form
    138,457.60/208,094.42 = 114,915.92/x
  3. Step 3: Cross multiply
    138,457.60x = 208,094.42 × 114,915.92
  4. Step 4: Simplify right side
    138,457.60x = 23,913,360,321.58
  5. Step 5: Solve for x
    x = 23,913,360,321.58/138,457.60
  6. Step 6: Final answer
    x = 172,712.51

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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.