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Finding the Fourth Proportional to 100,151.60, 149,984.40 and 53,301.20

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Solution

The fourth proportional to 100,151.60, 149,984.40 and 53,301.20 is: 79,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,151.60 : 149,984.40 = 53,301.20 : x
  2. Step 2: Convert to fraction form
    100,151.60/149,984.40 = 53,301.20/x
  3. Step 3: Cross multiply
    100,151.60x = 149,984.40 × 53,301.20
  4. Step 4: Simplify right side
    100,151.60x = 7,994,348,501.28
  5. Step 5: Solve for x
    x = 7,994,348,501.28/100,151.60
  6. Step 6: Final answer
    x = 79,822.47

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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.