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Finding the Fourth Proportional to 211,970.40, 317,615.40 and 112,000.20

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Solution

The fourth proportional to 211,970.40, 317,615.40 and 112,000.20 is: 167,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,970.40 : 317,615.40 = 112,000.20 : x
  2. Step 2: Convert to fraction form
    211,970.40/317,615.40 = 112,000.20/x
  3. Step 3: Cross multiply
    211,970.40x = 317,615.40 × 112,000.20
  4. Step 4: Simplify right side
    211,970.40x = 35,572,988,323.08
  5. Step 5: Solve for x
    x = 35,572,988,323.08/211,970.40
  6. Step 6: Final answer
    x = 167,820.55

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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.