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Finding the Fourth Proportional to 206,967.50, 285,615.52 and 117,543.50

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Solution

The fourth proportional to 206,967.50, 285,615.52 and 117,543.50 is: 162,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,967.50 : 285,615.52 = 117,543.50 : x
  2. Step 2: Convert to fraction form
    206,967.50/285,615.52 = 117,543.50/x
  3. Step 3: Cross multiply
    206,967.50x = 285,615.52 × 117,543.50
  4. Step 4: Simplify right side
    206,967.50x = 33,572,247,875.12
  5. Step 5: Solve for x
    x = 33,572,247,875.12/206,967.50
  6. Step 6: Final answer
    x = 162,210.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.