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Finding the Fourth Proportional to 71,698.50, 107,547.75 and 30,145.50

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Solution

The fourth proportional to 71,698.50, 107,547.75 and 30,145.50 is: 45,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,698.50 : 107,547.75 = 30,145.50 : x
  2. Step 2: Convert to fraction form
    71,698.50/107,547.75 = 30,145.50/x
  3. Step 3: Cross multiply
    71,698.50x = 107,547.75 × 30,145.50
  4. Step 4: Simplify right side
    71,698.50x = 3,242,080,697.63
  5. Step 5: Solve for x
    x = 3,242,080,697.63/71,698.50
  6. Step 6: Final answer
    x = 45,218.25

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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.