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Finding the Fourth Proportional to 100,851.40, 145,412.64 and 100,851.40

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Solution

The fourth proportional to 100,851.40, 145,412.64 and 100,851.40 is: 145,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,851.40 : 145,412.64 = 100,851.40 : x
  2. Step 2: Convert to fraction form
    100,851.40/145,412.64 = 100,851.40/x
  3. Step 3: Cross multiply
    100,851.40x = 145,412.64 × 100,851.40
  4. Step 4: Simplify right side
    100,851.40x = 14,665,068,321.70
  5. Step 5: Solve for x
    x = 14,665,068,321.70/100,851.40
  6. Step 6: Final answer
    x = 145,412.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.