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Finding the Fourth Proportional to 100,829.10, 151,243.65 and 65,808.30

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Solution

The fourth proportional to 100,829.10, 151,243.65 and 65,808.30 is: 98,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,829.10 : 151,243.65 = 65,808.30 : x
  2. Step 2: Convert to fraction form
    100,829.10/151,243.65 = 65,808.30/x
  3. Step 3: Cross multiply
    100,829.10x = 151,243.65 × 65,808.30
  4. Step 4: Simplify right side
    100,829.10x = 9,953,087,492.30
  5. Step 5: Solve for x
    x = 9,953,087,492.30/100,829.10
  6. Step 6: Final answer
    x = 98,712.45

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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.